Rangers forward Ryan McBraynes has been linked to a return to the Rangers, with the club expected to announce his signing soon.
McBride, 28, is currently on loan at Norwich City.
He scored in their victory over Reading in the Capital One Cup final on Tuesday, making his debut for the Rovers in October 2012 and has been capped 25 times by England.
But McBride has scored just one goal in 26 appearances for the club, scoring one and making one appearance for the reserves.
He has a contract at the Stadium of Light until 2021, and will reportedly sign a deal with the Club in the next few days.