diff --git a/packages/datetime2/src/components/date-range-picker3/dateRangePicker3.tsx b/packages/datetime2/src/components/date-range-picker3/dateRangePicker3.tsx
index 2ff66970eb9..116358d806a 100644
--- a/packages/datetime2/src/components/date-range-picker3/dateRangePicker3.tsx
+++ b/packages/datetime2/src/components/date-range-picker3/dateRangePicker3.tsx
@@ -452,8 +452,17 @@ function getInitialMonth(props: DateRangePicker3Props, value: DateRange): Date {
         }
         return month;
     } else if (DateUtils.isDayInRange(today, [props.minDate!, props.maxDate!])) {
+        if (!isSingleMonthOnly && DateUtils.isSameMonth(today, props.maxDate!)) {
+            // special case: if today is in the maxDate month, display it on the right calendar
+            today.setMonth(today.getMonth() - 1);
+        }
         return today;
     } else {
-        return DateUtils.getDateBetween([props.minDate!, props.maxDate!]);
+        const betweenDate = DateUtils.getDateBetween([props.minDate!, props.maxDate!]);
+        if (!isSingleMonthOnly && DateUtils.isSameMonth(betweenDate, props.maxDate!)) {
+            // special case: if betweenDate is in the maxDate month, display it on the right calendar
+            betweenDate.setMonth(betweenDate.getMonth() - 1);
+        }
+        return betweenDate;
     }
 }