diff --git a/src/k_kart.c b/src/k_kart.c
index 2cc937198..9c57c402b 100644
--- a/src/k_kart.c
+++ b/src/k_kart.c
@@ -10032,7 +10032,9 @@ void K_KartPlayerThink(player_t *player, ticcmd_t *cmd)
 		}
 		*/
 
-		starttime = leveltime;
+		if (starttime > leveltime)
+			starttime = leveltime;
+
 		G_SetDemoAttackTiming(leveltime);
 
 		Music_Stop("position");
diff --git a/src/p_setup.cpp b/src/p_setup.cpp
index d8f91e0fd..460ccc239 100644
--- a/src/p_setup.cpp
+++ b/src/p_setup.cpp
@@ -8961,6 +8961,15 @@ boolean P_LoadLevel(boolean fromnetsave, boolean reloadinggamestate)
 		I_Error("Playing binary maps is disabled; please convert to UDMF TEXTMAP and rebuild nodes.");
 	}
 
+	if (!netgame)
+	{
+		// There is literally no reason to preserve ticcmds from a previous map
+		// offline, even and especially if mindelay is involved.
+		// Stop
+		D_ResetTiccmds();
+		memset(netcmds, 0, sizeof(netcmds)); // This is somehow actually necessary.
+	}
+
 	if (!fromnetsave)
 	{
 		INT32 buf = gametic % BACKUPTICS;