The two men were on one of five bus loads of supporters who had travelled to support Kidderminster Harriers against Luton Town FC.
Police said that as the coaches queued in traffic about a mile from the Kenilworth Road ground an argument broke out between "local residents" and supporters.
Four local men have been arrested and police are investigating the violence which broke out in Dunstable Street near the Mansfield Road junction.
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It will be largely dry but some fog may be slow to clear.
Any fog patches slow to clear during the morning.
The Fire and Rescue service were called to Lynmouth Close in Leicester on Friday night.