diff --git a/src/basic/time-util.c b/src/basic/time-util.c
index cbdfd55ada..7a5b29d77e 100644
--- a/src/basic/time-util.c
+++ b/src/basic/time-util.c
@@ -883,6 +883,7 @@ static char* extract_multiplier(char *p, usec_t *multiplier) {
                 { "y",       USEC_PER_YEAR   },
                 { "usec",    1ULL            },
                 { "us",      1ULL            },
+                { "µs",      1ULL            },
         };
         unsigned i;
 
@@ -1016,6 +1017,7 @@ int parse_nsec(const char *t, nsec_t *nsec) {
                 { "y", NSEC_PER_YEAR },
                 { "usec", NSEC_PER_USEC },
                 { "us", NSEC_PER_USEC },
+                { "µs", NSEC_PER_USEC },
                 { "nsec", 1ULL },
                 { "ns", 1ULL },
                 { "", 1ULL }, /* default is nsec */
diff --git a/src/test/test-time.c b/src/test/test-time.c
index 7078a0374d..8259491813 100644
--- a/src/test/test-time.c
+++ b/src/test/test-time.c
@@ -42,6 +42,10 @@ static void test_parse_sec(void) {
         assert_se(u == 2500 * USEC_PER_MSEC);
         assert_se(parse_sec(".7", &u) >= 0);
         assert_se(u == 700 * USEC_PER_MSEC);
+        assert_se(parse_sec("23us", &u) >= 0);
+        assert_se(u == 23);
+        assert_se(parse_sec("23µs", &u) >= 0);
+        assert_se(u == 23);
         assert_se(parse_sec("infinity", &u) >= 0);
         assert_se(u == USEC_INFINITY);
         assert_se(parse_sec(" infinity ", &u) >= 0);