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.
More top news
A grey start with fog and drizzle. Brightening up inland, some warm, sunny spells developing.
Mist and low cloud at first will be slow to clear. Gradually brightening up later though with some sunny spells developing.
After being denied legal cannabis-based medicine, ITV News speaks to a man who says he's forced to turn to illegal drugs for his pain relief