Sunderland and Ipswich Town are the two main sides lobbying the government to make legal change, according to the 'Daily Mail'.
The law, which is been in place since 1985, stops supporters drinking alcohol at their seats - the club feel like this is unfair on football supporters.
Supporters of rugby, cricket and tennis to name a few sports are allowed to consume alcohol from the comfort of their seats, which is the the main argument.
"At the Stadium of Light, concert-goers can watch Kings of Leon whilst enjoying a pint, but cannot when watching their football team, a Sunderland spokesperson told "talkSPORT". "This seems discriminatory to football fans."
"After everything we now know about the slurs and lies told over the Hillsborough disaster it is ridiculous that football fans are still stigmatised as essentially a feral underclass," blog the Anfield Wrap told 'talkSPORT'.
"How is it that the same person could sit in the same seat only a few days apart, one for a rugby match and then for a football match and have a drink at one and not the other?"