diff --git a/qiskit_ibm_provider/utils/converters.py b/qiskit_ibm_provider/utils/converters.py
index af68f4507..b19fb203d 100644
--- a/qiskit_ibm_provider/utils/converters.py
+++ b/qiskit_ibm_provider/utils/converters.py
@@ -12,6 +12,7 @@
 
 """Utilities related to conversion."""
 
+import re
 from datetime import datetime, timedelta, timezone
 from math import ceil
 from typing import Union, Tuple, Any, Optional
@@ -200,13 +201,25 @@ def hms_to_seconds(hms: str, msg_prefix: str = "") -> int:
     Raises:
         IBMInputValueError: when the given hms string is in an invalid format
     """
-    try:
-        date_time = parser.parse(hms)
-        hours = date_time.hour
-        minutes = date_time.minute
-        seconds = date_time.second
-        return int(
-            timedelta(hours=hours, minutes=minutes, seconds=seconds).total_seconds()
-        )
-    except parser.ParserError as parser_error:
-        raise IBMInputValueError(msg_prefix + str(parser_error))
+
+    parsed_time = re.findall(r"(\d+[dhms])", hms)
+    total_seconds = 0
+
+    if parsed_time:
+        for time_unit in parsed_time:
+            unit = time_unit[-1]
+            value = int(time_unit[:-1])
+            if unit == "d":
+                total_seconds += value * 86400
+            elif unit == "h":
+                total_seconds += value * 3600
+            elif unit == "m":
+                total_seconds += value * 60
+            elif unit == "s":
+                total_seconds += value
+            else:
+                raise IBMInputValueError(f"{msg_prefix} Invalid input: {unit}")
+    else:
+        raise IBMInputValueError(f"{msg_prefix} Invalid input: {parsed_time}")
+
+    return total_seconds
diff --git a/releasenotes/notes/hms-seconds-util-bug-5a2ab12d05224baa.yaml b/releasenotes/notes/hms-seconds-util-bug-5a2ab12d05224baa.yaml
new file mode 100644
index 000000000..55a11fd5a
--- /dev/null
+++ b/releasenotes/notes/hms-seconds-util-bug-5a2ab12d05224baa.yaml
@@ -0,0 +1,6 @@
+---
+fixes:
+  - |
+    The utility function ``hms_to_seconds`` now handles values greater than one day. This means that
+    passing in values greater than one day for the ``max_time`` parameter in ``Sessions`` is 
+    possible.
diff --git a/test/unit/test_utils_converters.py b/test/unit/test_utils_converters.py
index ebb495555..af109d1cd 100644
--- a/test/unit/test_utils_converters.py
+++ b/test/unit/test_utils_converters.py
@@ -30,12 +30,11 @@ def test_hms_to_seconds(self):
             ("3h 30m 30s", 12630),
             ("3h 30s", 10830),
             ("3h30m30s", 12630),
+            ("2d", 172800),
+            ("25h", 90000),
+            ("1d 1h 1m 1s", 90061),
         ]
         invalid_strings = [
-            "2d",
-            "24h",
-            "60m",
-            "60s",
             "2w",
         ]
         for valid_string in valid_strings: