diff --git a/perllib/Open311/UpdatesBase.pm b/perllib/Open311/UpdatesBase.pm
index 2eb7d82a0f..90071f8707 100644
--- a/perllib/Open311/UpdatesBase.pm
+++ b/perllib/Open311/UpdatesBase.pm
@@ -281,7 +281,9 @@ sub _process_update {
     # insertion. We also then need a clone, otherwise the setting of lastupdate
     # will *also* reshift comment->created's time zone to TIME_ZONE.
     my $created = $comment->created->set_time_zone(FixMyStreet->local_time_zone);
-    $p->lastupdate($created->clone);
+    if ($created > $p->lastupdate) {
+        $p->lastupdate($created->clone);
+    }
 
     return $comment unless $self->commit;
 
diff --git a/t/cobrand/brent.t b/t/cobrand/brent.t
index 920cd8fe2d..cc008de90e 100644
--- a/t/cobrand/brent.t
+++ b/t/cobrand/brent.t
@@ -762,6 +762,8 @@ subtest 'push updating of reports' => sub {
         ($report, $report2) = $mech->create_problems_for_body(2, $brent->id, 'Graffiti', {
             category => 'Graffiti',
         });
+        # Set last update to before the time of the first update we've mocked.
+        $report->update({ lastupdate => DateTime->new(year => 2020, month => 06, day => 23, hour => 15) });
         my $report_id = $report->id;
         my $cobrand = FixMyStreet::Cobrand::Brent->new;
 
diff --git a/t/cobrand/bromley_waste.t b/t/cobrand/bromley_waste.t
index 582a568c0b..345ac66a03 100644
--- a/t/cobrand/bromley_waste.t
+++ b/t/cobrand/bromley_waste.t
@@ -582,6 +582,8 @@ subtest 'updating of waste reports' => sub {
         });
         $reports[1]->update({ external_id => 'something-else' }); # To test loop
         $report = $reports[0];
+        # Set last update to before the time of the first update we've mocked.
+        $report->update({ lastupdate => DateTime->new(year => 2020, month => 06, day => 23, hour => 15) });
         my $cobrand = FixMyStreet::Cobrand::Bromley->new;
 
         $report->update({ external_id => 'waste-15001-' });
diff --git a/t/cobrand/sutton.t b/t/cobrand/sutton.t
index 1b2e987622..3ad436a1ae 100644
--- a/t/cobrand/sutton.t
+++ b/t/cobrand/sutton.t
@@ -16,6 +16,7 @@ FixMyStreet::App->log->disable('info');
 END { FixMyStreet::App->log->enable('info'); }
 
 # Create test data
+my $date = DateTime->now->subtract(days => 1)->strftime('%Y-%m-%dT%H:%M:%SZ');
 my $user = $mech->create_user_ok( 'sutton@example.com', name => 'Sutton Council' );
 my $normal_user = $mech->create_user_ok( 'user@example.com', name => 'Norma Normal' );
 my $body = $mech->create_body_ok( 2498, 'Sutton Council', {
@@ -167,7 +168,6 @@ sub new { my $c = shift; bless { @_ }, $c; }
 package main;
 
 subtest 'updating of waste reports' => sub {
-    my $date = DateTime->now->subtract(days => 1)->strftime('%Y-%m-%dT%H:%M:%SZ');
     my $integ = Test::MockModule->new('SOAP::Lite');
     $integ->mock(call => sub {
         my ($cls, @args) = @_;
@@ -216,6 +216,8 @@ subtest 'updating of waste reports' => sub {
     });
     $reports[1]->update({ external_id => 'something-else' }); # To test loop
     $report = $reports[0];
+    # Set last update to before the time of the first update we've mocked.
+    $report->update({ lastupdate => $date });
 
     FixMyStreet::override_config {
         ALLOWED_COBRANDS => 'sutton',