The 25-year-old Scotland international has been in impressive form for Rovers so far this season, scoring 14 goals in 35 Championship appearances.
Rhodes has also created 31 chances in those matches, while having a pass accuracy of 74% and a shot accuracy of 44%.
Beagrie, who now works as a Football League expert for Sky Sports, believes that the former Ipswich Town striker is good enough to play in the Premier League.
“The nitpickers in the football fraternity say he lacks that explosive yard of pace to step up to the Premier League - something I don't agree with,” the 49-year-old wrote on Skysports.com.
"His intelligence, movement and spacial awareness are all excellent and enough to compensate for not being able to beat Usain Bolt to the telephone should the big guns call, as they did in the summer, with Hull having two bids turned down, which prompted Rhodes to pen a deal until 2019."
Nottingham Forest manager Dougie Freedman recently admitted to BBCNottinghamSport that he had tried to sign Rhodes on loan from Blackburn, and it seems that the Scot sees the quality in the striker just as Beagrie does.
Blackburn manager Gary Bowyer has told BBC Radio Lancashire that he will not let the striker leave on loan anytime soon, but Forest would be wise to make a move in the summer.
Freedman appears to be a fan of Rhodes, and given the striker’s obvious quality, it only makes sense for the Reds to reinforce their squad for next season.