diff --git a/coreutils/md5_sha1_sum.c b/coreutils/md5_sha1_sum.c
index 0e57673f1..b4bdc262c 100644
--- a/coreutils/md5_sha1_sum.c
+++ b/coreutils/md5_sha1_sum.c
@@ -301,9 +301,7 @@ int md5_sha1_sum_main(int argc UNUSED_PARAM, char **argv)
 
 				count_total++;
 				filename_ptr = strchr(line, ' ');
-				if (filename_ptr == NULL
-				 || (filename_ptr[1] != ' ' && filename_ptr[1] != '*')
-				) {
+				if (!filename_ptr) {
 					if (flags & FLAG_WARN) {
 						bb_simple_error_msg("invalid format");
 					}
@@ -312,8 +310,13 @@ int md5_sha1_sum_main(int argc UNUSED_PARAM, char **argv)
 					free(line);
 					continue;
 				}
-				*filename_ptr = '\0';
-				filename_ptr += 2;
+				*filename_ptr++ = '\0';
+				/* coreutils 9.1 allows "HASH FILENAME" format,
+				 * with only one space. Skip the 'correct'
+				 * "  " or " *" delimiter if it is there:
+				 */
+				if (*filename_ptr == ' ' || *filename_ptr == '*')
+					filename_ptr++;
 
 				hash_value = hash_file(in_buf, filename_ptr, sha3_width);
 
diff --git a/testsuite/sha1sum.tests b/testsuite/sha1sum.tests
index a968fa87c..7ad1334c3 100755
--- a/testsuite/sha1sum.tests
+++ b/testsuite/sha1sum.tests
@@ -1,3 +1,13 @@
 #!/bin/sh
 
+. ./testing.sh
+
+# testing "test name" "cmd" "expected result" "file input" "stdin"
+>EMPTY
+testing "sha1sum: one-space separated input for -c" \
+	'echo "da39a3ee5e6b4b0d3255bfef95601890afd80709 EMPTY" | sha1sum -c' \
+	"EMPTY: OK\n" \
+	"" ""
+rm EMPTY
+
 . ./md5sum.tests sha1sum d41337e834377140ae7f98460d71d908598ef04f