diff --git a/Tests/images/timeout-d675703545fee17acab56e5fec644c19979175de.eps b/Tests/images/timeout-d675703545fee17acab56e5fec644c19979175de.eps
new file mode 100644
index 00000000000..5000ca9aa55
Binary files /dev/null and b/Tests/images/timeout-d675703545fee17acab56e5fec644c19979175de.eps differ
diff --git a/Tests/test_file_eps.py b/Tests/test_file_eps.py
index ea91375dadb..e616ffa0cf6 100644
--- a/Tests/test_file_eps.py
+++ b/Tests/test_file_eps.py
@@ -1,5 +1,4 @@
 import io
-
 import pytest
 
 from PIL import EpsImagePlugin, Image, features
@@ -264,3 +263,17 @@ def test_emptyline():
     assert image.mode == "RGB"
     assert image.size == (460, 352)
     assert image.format == "EPS"
+
+
+@pytest.mark.timeout(timeout=5)
+@pytest.mark.parametrize(
+    "test_file",
+    [
+        ("Tests/images/timeout-d675703545fee17acab56e5fec644c19979175de.eps")
+    ],
+)
+def test_timeout(test_file):
+    with open(test_file, "rb") as f:
+        with pytest.raises(Image.UnidentifiedImageError):
+            with Image.open(f):
+                pass
diff --git a/src/PIL/EpsImagePlugin.py b/src/PIL/EpsImagePlugin.py
index dc61f48edc9..3bf8ee0ab35 100644
--- a/src/PIL/EpsImagePlugin.py
+++ b/src/PIL/EpsImagePlugin.py
@@ -170,12 +170,12 @@ def seek(self, offset, whence=io.SEEK_SET):
         self.fp.seek(offset, whence)
 
     def readline(self):
-        s = self.char or b""
+        s = [self.char or b""]
         self.char = None
 
         c = self.fp.read(1)
-        while c not in b"\r\n":
-            s = s + c
+        while (c not in b"\r\n") and len(c):
+            s.append(c)
             c = self.fp.read(1)
 
         self.char = self.fp.read(1)
@@ -183,7 +183,7 @@ def readline(self):
         if self.char in b"\r\n":
             self.char = None
 
-        return s.decode("latin-1")
+        return b"".join(s).decode("latin-1")
 
 
 def _accept(prefix):