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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Most places dry overnight. Cloudier and windier during Sunday.
Cloudy and mild on Sunday, risk patchy rain in west.
Police have released footage of the moment a 12 year-old girl was knocked down by a hit-and-run driver on a zebra crossing in Birmingham.