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
The number of people contacting the NSPCC to raise the alarm on domestic abuse has surged by 83% in the region over the past five years.
The announcement comes a day after a ballot for action by catering supply staff on the West Coast route was launched in a dispute over pay.
Cloudy and breezy tonight with rain. Drier tomorrow.