Humza Yousaf has said he is "happy to work with" the former footballers campaigning for head injuries to be classed as industrial.
The First Minister said he would work with MSPs from other parties on what he called "a very important issue".
Sir Alex Ferguson joined forces with 30 other football legends earlier this week to demand brain injuries caused by heading the ball are classed as an industrial injury.
The campaigners called for retired players suffering from dementia to get help via the devolved social security system.
The demand comes after former Scotland hero Gordon McQueen, 70, passed away from dementia last Thursday.
A 2019 study by Glasgow University professor Willie Stewart found ex-footballers were about three-and-a-half times more likely to die of neurodegenerative brain disease than members of the general population.
Other research revealed footballers who play in defence are five times more likely to have dementia than non-footballers.
Labour MSP Michael Marra is leading the campaign in the Scottish parliament.
Yousaf has said that he is willing to work with Marra on the issue.
Yousaf told BBC Radio Scotland: "I'll give that call obviously serious consideration. [On] what is within our power, of course, [and] wherever is reserved power to the UK Government, I'm happy to work with them in a collaborative fashion on this very issue.
"Sir Alex Ferguson is somebody who I hold in great high esteem. He's from my constituency in Govan and he's a frequent visitor there.
"So I'll be happy to work on a cross-party basis with any MSP on this very important issue."
Ferguson, Gordon Strachan, Alex McLeish and Craig Levein, who have all managed Scotland, are among legends urging the Scottish Government to use new social security powers.
If the campaign is successful, it would see players with football-related brain injuries qualify for benefit payments.
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