Evans has said that Old Firm clubs Rangers and Celtic have watched the 20-year-old defender.
According to The Scottish Sun, the Gers and the Hoops are keeping tabs on the youngster.
Evans told The Scottish Sun: “Jack has everything. He’s two-footed, is good in the air and he’s a competitor.
“He’s got a bright future, make no mistake. I know Ross Wilson at Rangers well. H’es got an extensive scouting network.
“They’ve watched Jack numerous times. I know Celtic have, too. It would be more of a shock to me if they weren’t watching him.”
Stats
Tucker has made 26 starts and two substitute appearances in League One for Gillingham so far this season.
The youngster defender also played thrice in the FA Cup and three times in the EFL Trophy.
League tables
Football in England and in Scotland is suspended at the moment due to the coronavirus pandemic, and it is not yet clear when the campaign will resume.
Gillingham are 11th in the League One table at the moment with 51 points from 35 matches, eight points behind sixth-placed Peterborough United.
Celtic are currently at the top of the Scottish Premiership table with 80 points from 30 matches, as many as 13 points clear of second-placed and bitter Old Firm rivals Rangers, who have played 29 games.