diff --git a/src/briefcase/platforms/linux/system.py b/src/briefcase/platforms/linux/system.py
index bf8ef9b2f..17eb900e8 100644
--- a/src/briefcase/platforms/linux/system.py
+++ b/src/briefcase/platforms/linux/system.py
@@ -877,7 +877,23 @@ def _package_rpm(self, app: AppConfig, **kwargs):
                             # tell you that it will remove the executable bit -
                             # even if the executable bit isn't set.
                             # We disable the processor that does this.
-                            "%undefine __brp_mangle_shebangs",
+                            "%global __brp_mangle_shebangs %{nil}",
+                            # rpmbuild tries to strip binaries, which messes with
+                            # binary wheels. Disable these checks.
+                            "%global __brp_strip %{nil}",
+                            "%global __brp_strip_static_archive %{nil}",
+                            "%global __brp_strip_comment_note %{nil}",
+                            # Disable RPATH checking, because check-rpaths can't deal with
+                            # the structure of manylinux wheels
+                            "%global __brp_check_rpaths %{nil}",
+                            # Disable all the auto-detection that tries to magically
+                            # determine requirements from the binaries
+                            f"%global __requires_exclude_from ^%{{_libdir}}/{app.app_name}/.*$",
+                            f"%global __provides_exclude_from ^%{{_libdir}}/{app.app_name}/.*$",
+                            # Disable debug processing.
+                            "%global _enable_debug_package 0",
+                            "%global debug_package %{nil}",
+                            "",
                             # Base package metadata
                             f"Name:           {app.app_name}",
                             f"Version:        {app.version}",
@@ -900,16 +916,6 @@ def _package_rpm(self, app: AppConfig, **kwargs):
                             "%description",
                             app.long_description,
                             "",
-                            # Disable all the auto-detection that tries to magically
-                            # determine requirements from the binaries
-                            f"%global __requires_exclude /usr/lib/{app.app_name}",
-                            f"%global __provides_exclude /usr/lib/{app.app_name}",
-                            # Disable all build post-processing so that binary
-                            # wheels aren't munged.
-                            "%global _enable_debug_package 0",
-                            "%global debug_package %{nil}",
-                            "%global __os_install_post /usr/lib/rpm/brp-compress %{nil}",
-                            "",
                             "%prep",
                             "%autosetup",
                             "",
diff --git a/tests/platforms/linux/system/test_package__rpm.py b/tests/platforms/linux/system/test_package__rpm.py
index 6e31ef443..032c9b717 100644
--- a/tests/platforms/linux/system/test_package__rpm.py
+++ b/tests/platforms/linux/system/test_package__rpm.py
@@ -168,7 +168,16 @@ def test_rpm_package(package_command, first_app_rpm, tmp_path):
     ) as f:
         assert f.read() == "\n".join(
             [
-                "%undefine __brp_mangle_shebangs",
+                "%global __brp_mangle_shebangs %{nil}",
+                "%global __brp_strip %{nil}",
+                "%global __brp_strip_static_archive %{nil}",
+                "%global __brp_strip_comment_note %{nil}",
+                "%global __brp_check_rpaths %{nil}",
+                "%global __requires_exclude_from ^%{_libdir}/first-app/.*$",
+                "%global __provides_exclude_from ^%{_libdir}/first-app/.*$",
+                "%global _enable_debug_package 0",
+                "%global debug_package %{nil}",
+                "",
                 "Name:           first-app",
                 "Version:        0.0.1",
                 "Release:        1%{?dist}",
@@ -186,12 +195,6 @@ def test_rpm_package(package_command, first_app_rpm, tmp_path):
                 "Long description",
                 "for the app",
                 "",
-                "%global __requires_exclude /usr/lib/first-app",
-                "%global __provides_exclude /usr/lib/first-app",
-                "%global _enable_debug_package 0",
-                "%global debug_package %{nil}",
-                "%global __os_install_post /usr/lib/rpm/brp-compress %{nil}",
-                "",
                 "%prep",
                 "%autosetup",
                 "",
@@ -313,7 +316,16 @@ def test_rpm_re_package(package_command, first_app_rpm, tmp_path):
     ) as f:
         assert f.read() == "\n".join(
             [
-                "%undefine __brp_mangle_shebangs",
+                "%global __brp_mangle_shebangs %{nil}",
+                "%global __brp_strip %{nil}",
+                "%global __brp_strip_static_archive %{nil}",
+                "%global __brp_strip_comment_note %{nil}",
+                "%global __brp_check_rpaths %{nil}",
+                "%global __requires_exclude_from ^%{_libdir}/first-app/.*$",
+                "%global __provides_exclude_from ^%{_libdir}/first-app/.*$",
+                "%global _enable_debug_package 0",
+                "%global debug_package %{nil}",
+                "",
                 "Name:           first-app",
                 "Version:        0.0.1",
                 "Release:        1%{?dist}",
@@ -331,12 +343,6 @@ def test_rpm_re_package(package_command, first_app_rpm, tmp_path):
                 "Long description",
                 "for the app",
                 "",
-                "%global __requires_exclude /usr/lib/first-app",
-                "%global __provides_exclude /usr/lib/first-app",
-                "%global _enable_debug_package 0",
-                "%global debug_package %{nil}",
-                "%global __os_install_post /usr/lib/rpm/brp-compress %{nil}",
-                "",
                 "%prep",
                 "%autosetup",
                 "",
@@ -477,7 +483,16 @@ def test_rpm_package_extra_requirements(package_command, first_app_rpm, tmp_path
     ) as f:
         assert f.read() == "\n".join(
             [
-                "%undefine __brp_mangle_shebangs",
+                "%global __brp_mangle_shebangs %{nil}",
+                "%global __brp_strip %{nil}",
+                "%global __brp_strip_static_archive %{nil}",
+                "%global __brp_strip_comment_note %{nil}",
+                "%global __brp_check_rpaths %{nil}",
+                "%global __requires_exclude_from ^%{_libdir}/first-app/.*$",
+                "%global __provides_exclude_from ^%{_libdir}/first-app/.*$",
+                "%global _enable_debug_package 0",
+                "%global debug_package %{nil}",
+                "",
                 "Name:           first-app",
                 "Version:        0.0.1",
                 "Release:        42%{?dist}",
@@ -497,12 +512,6 @@ def test_rpm_package_extra_requirements(package_command, first_app_rpm, tmp_path
                 "Long description",
                 "for the app",
                 "",
-                "%global __requires_exclude /usr/lib/first-app",
-                "%global __provides_exclude /usr/lib/first-app",
-                "%global _enable_debug_package 0",
-                "%global debug_package %{nil}",
-                "%global __os_install_post /usr/lib/rpm/brp-compress %{nil}",
-                "",
                 "%prep",
                 "%autosetup",
                 "",