diff --git a/src/parallel b/src/parallel
index cc8feb7b..06a7d6dd 100755
--- a/src/parallel
+++ b/src/parallel
@@ -483,6 +483,7 @@ sub round_robin_write {
     my ($header_ref,$block_ref,$recstart,$recend,$endpos) = @_;
     my $something_written = 0;
     my $block_passed = 0;
+    my $sleep = 1;
     while(not $block_passed) {
 	# Continue flushing existing buffers
 	# until one is empty and a new block is passed
@@ -497,6 +498,7 @@ sub round_robin_write {
 		last;
 	    }
 	}
+	$sleep = ::reap_usleep($sleep);
     }
     start_more_jobs();
     return $something_written;
diff --git a/testsuite/tests-to-run/parallel-local23.sh b/testsuite/tests-to-run/parallel-local23.sh
index 5adc5e29..38fd054b 100755
--- a/testsuite/tests-to-run/parallel-local23.sh
+++ b/testsuite/tests-to-run/parallel-local23.sh
@@ -31,6 +31,9 @@ echo
 echo '### test round-robin';
   nice seq 1000 | $NICEPAR --block 1k --pipe --round-robin wc | sort
 
+echo '### bug #43600: --pipe --linebuffer --round does not work'
+  seq 10000000000 | parallel --pipe --linebuffer --round cat | head
+
 echo '### --version must have higher priority than retired options'
   $NICEPAR --version -g -Y -U -W -T | tail
 
diff --git a/testsuite/wanted-results/parallel-local23 b/testsuite/wanted-results/parallel-local23
index 959cbb70..830a7893 100644
--- a/testsuite/wanted-results/parallel-local23
+++ b/testsuite/wanted-results/parallel-local23
@@ -50,6 +50,19 @@ echo '### test round-robin';   nice seq 1000 | $NICEPAR --block 1k --pipe --roun
     250     250    1000
     250     250    1000
     277     277    1000
+echo '### bug #43600: --pipe --linebuffer --round does not work'
+### bug #43600: --pipe --linebuffer --round does not work
+  seq 10000000000 | parallel --pipe --linebuffer --round cat | head
+1
+2
+3
+4
+5
+6
+7
+8
+9
+10
 echo '### --version must have higher priority than retired options'
 ### --version must have higher priority than retired options
   $NICEPAR --version -g -Y -U -W -T | tail