Byram, 22, has been in fine form of late, scoring three goals in his last five games as he has thrived under the tutelage of manager Steve Evans.
However, Byram's future at Elland Road is uncertain, given that he is out of contract at the end of the season, and has so far snubbed the option of extending his contract with Leeds.
A host of Premier League clubs are believed to be interested in Byram, with The Telegraph reporting that West Ham United are hoping to land him this month, with Leeds no doubt considering a move to sell Byram before his contract expires, where they would have to take the deal to a tribunal.
Now though, The Mirror report that Norwich City want Byram - and believe they have the secret weapon to land his signature; Kyle Lafferty.
Leeds boss Evans confirmed to BBC Radio Leeds on Saturday that he wanted to bring Lafferty to Elland Road, with talks underway between the two clubs over a deal to sign the Northern Irish international.
The giant striker is an outcast at Norwich, but the numbers don't quite add up for a straight swap deal. Norwich would surely have to offer a figure in excess of £5m as well as Lafferty for Leeds to consider accepting the proposal - though now we may see just how much Evans wants to sign Lafferty, with Byram potentially going in the other direction, reminiscent of the deal between the two clubs involving Luciano Becchio and Steve Morison in 2013.