diff --git a/test/COFF/timestamp.test b/test/COFF/timestamp.test
index c0658d6..cc73af1 100644
--- a/test/COFF/timestamp.test
+++ b/test/COFF/timestamp.test
@@ -4,19 +4,28 @@
 RUN: lld-link %t.obj /debug /Brepro /entry:main /nodefaultlib /out:%t.2.exe
 RUN: lld-link %t.obj /debug /timestamp:0 /entry:main /nodefaultlib /out:%t.3.exe
 RUN: env SOURCE_DATE_EPOCH=0 lld-link %t.obj /debug /entry:main /nodefaultlib /out:%t.4.exe
-RUN: lld-link %t.obj /debug /timestamp:4294967295 /entry:main /nodefaultlib /out:%t.5.exe
-RUN: env SOURCE_DATE_EPOCH=4294967295 lld-link %t.obj /debug /entry:main /nodefaultlib /out:%t.6.exe
+# Test timestamps corresponding to INT32_TMAX
+RUN: lld-link %t.obj /debug /timestamp:2147483647 /entry:main /nodefaultlib /out:%t.5.exe
+RUN: env SOURCE_DATE_EPOCH=2147483647 lld-link %t.obj /debug /entry:main /nodefaultlib /out:%t.6.exe
+# Test that the command line option /timestamp has precedence over SOURCE_DATE_EPOCH
 RUN: env SOURCE_DATE_EPOCH=12345 lld-link %t.obj /debug /timestamp:0 /entry:main /nodefaultlib /out:%t.7.exe
-RUN: env LLD_IN_TEST=1 not lld-link %t.obj /debug /timestamp:4294967296 /entry:main /nodefaultlib /out:%t.8.exe 2>&1 | FileCheck %s --check-prefix=ERROR
-RUN: env SOURCE_DATE_EPOCH=4294967296 env LLD_IN_TEST=1 not lld-link %t.obj /debug /entry:main /nodefaultlib /out:%t.9.exe 2>&1 | FileCheck %s --check-prefix=ERROR2
+# Test timestamps corresponding to UINT32_TMAX
+RUN: lld-link %t.obj /debug /timestamp:4294967295 /entry:main /nodefaultlib /out:%t.8.exe
+RUN: env SOURCE_DATE_EPOCH=4294967295 lld-link %t.obj /debug /entry:main /nodefaultlib /out:%t.9.exe
+# Test that setting UINT32_MAX+1 as timestamp fails.
+RUN: env LLD_IN_TEST=1 not lld-link %t.obj /debug /timestamp:4294967296 /entry:main /nodefaultlib /out:%t.10.exe 2>&1 | FileCheck %s --check-prefix=ERROR
+RUN: env SOURCE_DATE_EPOCH=4294967296 env LLD_IN_TEST=1 not lld-link %t.obj /debug /entry:main /nodefaultlib /out:%t.11.exe 2>&1 | FileCheck %s --check-prefix=ERROR2
 RUN: llvm-readobj --file-headers --coff-debug-directory %t.1.exe | FileCheck %s --check-prefix=HASH
 RUN: llvm-readobj --file-headers --coff-debug-directory %t.2.exe | FileCheck %s --check-prefix=HASH
 RUN: llvm-readobj --file-headers --coff-debug-directory %t.3.exe | FileCheck %s --check-prefix=ZERO
 RUN: llvm-readobj --file-headers --coff-debug-directory %t.4.exe | FileCheck %s --check-prefix=ZERO
-RUN: llvm-readobj --file-headers --coff-debug-directory %t.5.exe | FileCheck %s --check-prefix=MAX
-RUN: llvm-readobj --file-headers --coff-debug-directory %t.6.exe | FileCheck %s --check-prefix=MAX
+RUN: llvm-readobj --file-headers --coff-debug-directory %t.5.exe | FileCheck %s --check-prefix=LARGE
+RUN: llvm-readobj --file-headers --coff-debug-directory %t.6.exe | FileCheck %s --check-prefix=LARGE
 RUN: llvm-readobj --file-headers --coff-debug-directory %t.7.exe | FileCheck %s --check-prefix=ZERO
 
+# Not inspecting %t.8.exe and %t.9.exe; llvm-readobj with a 32 bit time_t fails to print dates
+# past INT32_MAX correctly.
+
 HASH: ImageFileHeader {
 HASH: TimeDateStamp: [[STAMP:.*]]
 HASH: DebugDirectory [
@@ -27,10 +36,10 @@
 ZERO: DebugDirectory [
 ZERO: TimeDateStamp: 1970-01-01 00:00:00 (0x0)
 
-MAX: ImageFileHeader {
-MAX: TimeDateStamp: 2106-02-07 06:28:15 (0xFFFFFFFF)
-MAX: DebugDirectory [
-MAX: TimeDateStamp: 2106-02-07 06:28:15 (0xFFFFFFFF)
+LARGE: ImageFileHeader {
+LARGE: TimeDateStamp: 2038-01-19 03:14:07 (0x7FFFFFFF)
+LARGE: DebugDirectory [
+LARGE: TimeDateStamp: 2038-01-19 03:14:07 (0x7FFFFFFF)
 
 ERROR: error: invalid timestamp: 4294967296.  Expected 32-bit integer
 ERROR2: error: invalid SOURCE_DATE_EPOCH timestamp: 4294967296.  Expected 32-bit integer