diff --git a/meta/classes-global/sstate.bbclass b/meta/classes-global/sstate.bbclass
index 11bb892a42..8e0391c666 100644
--- a/meta/classes-global/sstate.bbclass
+++ b/meta/classes-global/sstate.bbclass
@@ -641,15 +641,6 @@ def sstate_package(ss, d):
 
     tmpdir = d.getVar('TMPDIR')
 
-    fixtime = False
-    if ss['task'] == "package":
-        fixtime = True
-
-    def fixtimestamp(root, path):
-        f = os.path.join(root, path)
-        if os.lstat(f).st_mtime > sde:
-            os.utime(f, (sde, sde), follow_symlinks=False)
-
     sstatebuild = d.expand("${WORKDIR}/sstate-build-%s/" % ss['task'])
     sde = int(d.getVar("SOURCE_DATE_EPOCH") or time.time())
     d.setVar("SSTATE_CURRTASK", ss['task'])
@@ -664,8 +655,6 @@ def sstate_package(ss, d):
         # to sstate tasks but there aren't many of these so better just avoid them entirely.
         for walkroot, dirs, files in os.walk(state[1]):
             for file in files + dirs:
-                if fixtime:
-                    fixtimestamp(walkroot, file)
                 srcpath = os.path.join(walkroot, file)
                 if not os.path.islink(srcpath):
                     continue
@@ -687,11 +676,6 @@ def sstate_package(ss, d):
         bb.utils.mkdirhier(plain)
         bb.utils.mkdirhier(pdir)
         bb.utils.rename(plain, pdir)
-        if fixtime:
-            fixtimestamp(pdir, "")
-            for walkroot, dirs, files in os.walk(pdir):
-                for file in files + dirs:
-                    fixtimestamp(walkroot, file)
 
     d.setVar('SSTATE_BUILDDIR', sstatebuild)
     d.setVar('SSTATE_INSTDIR', sstatebuild)
diff --git a/meta/lib/oe/sstatesig.py b/meta/lib/oe/sstatesig.py
index f883497292..1f97606763 100644
--- a/meta/lib/oe/sstatesig.py
+++ b/meta/lib/oe/sstatesig.py
@@ -564,6 +564,7 @@ def OEOuthashBasic(path, sigfile, task, d):
     if task == "package":
         include_timestamps = True
         include_root = False
+        source_date_epoch = float(d.getVar("SOURCE_DATE_EPOCH"))
     hash_version = d.getVar('HASHEQUIV_HASH_VERSION')
     extra_sigdata = d.getVar("HASHEQUIV_EXTRA_SIGDATA")
 
@@ -655,7 +656,11 @@ def OEOuthashBasic(path, sigfile, task, d):
                         raise Exception(msg).with_traceback(e.__traceback__)
 
                 if include_timestamps:
-                    update_hash(" %10d" % s.st_mtime)
+                    # Need to clamp to SOURCE_DATE_EPOCH
+                    if s.st_mtime > source_date_epoch:
+                        update_hash(" %10d" % source_date_epoch)
+                    else:
+                        update_hash(" %10d" % s.st_mtime)
 
                 update_hash(" ")
                 if stat.S_ISBLK(s.st_mode) or stat.S_ISCHR(s.st_mode):