The Wednesday manager has urged the Blackburn Rovers striker to drop a division to give his career the kick start it so desperately needs.
Jeffers, once England's brightest striking prospect, is finding it tough to get regular first-team football at Ewood Park where at Hillsborough he would be guaranteed to get many more opportunities to shine.
Laws told PA Sport: "At times in the past Francis seems to have sacrificed his career for the sake of staying in the Premier League. He got the big-money move from Everton to Arsenal and has never quite managed to kick on from there.
"He's probably never played more than 10 to 15 Premier League games in a season but if he joined us he would get that regular first-team football that any player needs - now is the time for him to take some positive action for the benefit of his own career.
"He's perhaps stayed at certain clubs too long, rather than move on to somewhere new even if that meant dropping down a division."
In other news, West Brom have reportedly put in a bid for Chris Brunt although there is no indication how much the offer is for as of yet.
Brunt turned down a new deal at Hillsborough but is committed to help Wednesday get into the Premiership this season although his current deal ends at the end of the season.