Monk is starting to make his mark at Leeds, who have won five of their last six matches in all competitions heading into the international break.
And Jones, who spent 18 months in West Yorkshire after joining from Wimbledon in the summer of 1989 and helped the club back to the big time in 1989-90, believes that United will prosper if Monk is afforded no interventions from the boardroom.
Speaking to Talksport, Jones said: “One of the best things the chairman has done is put Garry up there.
“I’ve told the fans as well to give Garry time. He’s going to organise that place.
“Just as long as they don’t interfere upstairs, I think Garry will get it right, he’s going to bring some great players in.
“They’ve got the lad (Chris) Wood there who’s banging in some goals.
“I’ve still got some very good friends up in Leeds and I speak to them very often and the crowds will start coming back soon with the buzz around the town.
“It’s the best place on the planet to be when things are going well and there’s a full crowd up there.”