It’s understood that the winger will complete a medical later this afternoon, with Rangers having a bid in the region of £1 million accepted by the Seagulls.
Murphy spent the majority of his career at Motherwell, before completing a move down south to join Sheffield United and later Brighton.
The 28-year-old was a mainstay under Chris Hughton last season, having made 40 appearances as Brighton achieved promotion to the Premier League.
However, with Brighton having improved their playing squad over the summer, Murphy has struggled to make much of an impact in England’s top tier, making just six appearances so far this term.
Brighton’s loss appears to be Rangers’ gain though, with the club’s fans giving the Glaswegian a warm welcome on social media:
A good Rangers man. He’ll fight like hell for the club!! ?⚪️?
— Wee Georgie Boy (@weegeg12345) January 4, 2018
— James (@juicyartifact) January 4, 2018
Welcome home Jamie Murphy!
— Liam (@Liam___72) January 4, 2018
Happy for Jamie Murphy. He was absolutely brilliant in the Championship for us. Therefore I'm sure he will be a big hit at Rangers. Top fella ?
— JMisunderstoodBeard (@JBizzleBeard) January 4, 2018
I would take Jamie Murphy over Jamie Walker any day of the week..
— Andy Ritchie (@AndyRitchie12) January 4, 2018
Very happy with Jamie Murphy. We've badly needed an effective option out wide for too long now.
— Every Saturday We Follow (@CapitalCityBear) January 4, 2018
Jamie Murphy would be a good addition. Defo improves the starting 11. Desperately short in wider areas atm. Decent start to window.
— RT (@Rt_415) January 4, 2018
Jamie Murphy is a good signing. We're desperately weak down the left. If Wallace comes back then we'll be really strong down both flanks. Windass I'd imagine will move more central.
— #GraemeMurtyLoyal (@StaunchusPilate) January 4, 2018
— Bertie Huburn (@BertieHuburn) January 4, 2018
Delighted with the Jamie Murphy signing! One of us aswell?
— Stu (@boag22) January 4, 2018
Great piece of business watp
— bowza72 (@scottbowie73) January 4, 2018
Finally ??? welcome brother
— FK1872 (@FK1872) January 4, 2018
If the Murphy deal can be finalised later this afternoon, it’s expected that he could join the rest of the Rangers squad in Florida.
Graeme Murty’s side are currently in the United States for mid-season friendlies against Brazilian clubs, Corinthians and Atletico Mineiro.