diff --git a/test/testlib/OpenSSL/Test.pm b/test/testlib/OpenSSL/Test.pm
index ca2e369a2095a93c182a4e27fc9edd0033ee42b9..28c915af7b3ec83a3bc72c452ff43c7443693e8f 100644
--- a/test/testlib/OpenSSL/Test.pm
+++ b/test/testlib/OpenSSL/Test.pm
@@ -60,6 +60,11 @@ my $test_name = undef;
 # (mandatory), BIN_D, TEST_D, UTIL_D and RESULT_D.
 my %directories = ();
 
+# The environment variables that gave us the contents in %directories.  These
+# get modified whenever we change directories, so that subprocesses can use
+# the values of those environment variables as well
+my @direnv = ();
+
 # A bool saying if we shall stop all testing if the current recipe has failing
 # tests or not.  This is set by setup() if the environment variable STOPTEST
 # is defined with a non-empty value.
@@ -674,6 +679,13 @@ sub __env {
     $directories{SRCTEST} =                 __srctop_dir("test");
     $directories{RESULTS} = $ENV{RESULT_D} || $directories{BLDTEST};
 
+    push @direnv, "TOP"       if $ENV{TOP};
+    push @direnv, "SRCTOP"    if $ENV{SRCTOP};
+    push @direnv, "BLDTOP"    if $ENV{BLDTOP};
+    push @direnv, "BIN_D"     if $ENV{BIN_D};
+    push @direnv, "TEST_D"    if $ENV{TEST_D};
+    push @direnv, "RESULT_D"  if $ENV{RESULT_D};
+
     $end_with_bailout	  = $ENV{STOPTEST} ? 1 : 0;
 };
 
@@ -801,6 +813,16 @@ sub __cwd {
 	}
     }
 
+    # Treat each environment variable that was used to get us the values in
+    # %directories the same was as the paths in %directories, so any sub
+    # process can use their values properly as well
+    foreach (@direnv) {
+	if (!file_name_is_absolute($ENV{$_})) {
+	    my $newpath = abs2rel(rel2abs($ENV{$_}), rel2abs($dir));
+	    $ENV{$_} = $newpath;
+	}
+    }
+
     if ($debug) {
 	print STDERR "DEBUG: __cwd(), directories and files:\n";
 	print STDERR "  \$directories{BLDTEST} = \"$directories{BLDTEST}\"\n";