There was talk in February of Bentley attempting to reignite his career with a loan spell at stadium:mk.
The former Arsenal trainee, who joined Tottenham from Blackburn in a £15million deal in the summer of 2008, found first-team opportunities in short supply at White Hart Lane under then-manager Harry Redknapp over the last two campaigns and has not played for Spurs since November 2010.
"I'd love to take Bents, but the chairman says I'm not allowed," joked Robinson on Talksport. "David Bentley is a good friend of mine, he's someone I know well from Blackburn and we have the same agent.
"It's a deal I'd love to try and make happen but David Bentley has got tremendous quality and I'd be very, very surprised to see him playing outside of the Premier League."
However, Bentley had time out of the top flight. He spent the second half of the 2010-11 campaign at Birmingham and returned to the Championship last season, playing five times for West Ham before undergoing surgery on a knee injury in October.
But with Redknapp having now left Tottenham, the 27-year-old may look to get his career back on track at White Hart Lane under new manager Andre Villas-Boas.
MK Dons have already signed one former England international this summer with Alan Smith, who finished last season on loan at the Milton Keynes club, agreeing a two-year deal after being released by Newcastle.