Sheffield Wednesday and Hull City are both interested in the forward too, say the Echo, but Boro are eager to add a quality striker to their promotion campaign after losing both Patrick Bamford and Jelle Vossen once their loan spells concluded at the end of last season, and are prepared to spend big to get their man.
They may be helped by the fact that Rhodes' uncle is Steve Agnew, the club's assistant, and will try and sell the move to Rhodes after signing Stewart Downing, a player that could create a plethora of chances for the former Ipswich Town man. Boro tried to sign the player last season on loan with a view to a permanent move, the Echo reports, but with Rovers still having an outside chance of making the playoffs, a deal wasn't forthcoming.
Rhodes joined Blackburn for big money when he left Huddersfield in 2012, with the Scotland international having just put together an astonishing season that saw the Terriers promoted to the Championship when he scored 40 goals in 45 matches.
Despite the large transfer fee hanging over him, Rhodes has continued to prove that he is one of the best strikers in the division, even when playing for a side that struggled in his first year at the club.
Rovers have had a couple of respectable finishes under Gary Bowyer since then, finishing just outside the playoffs for the last two seasons, and Rhodes has unsurprisingly continued to find the back of the net. Reports of a possible bid for the 25-year-old going up to much as £10 million, according to the Mail, may be too much to refuse.