Michael Ausiello at 'Entertainment Weekly', Kristen at E! Online and Korbi Gosh at Zap2It have received confirmation from FOX and have a bit of information as to Jamie's role. Zap2It provides the most detail:
Per FOX, Bamber's role has him heavily involved in an engagement that Echo and Ballard are assigned to.
[MARTIN KLAR] Male, 40's. He is a charismatic European Financier.
Please Submit All Ethnicities. GUEST STAR
[HUGO TAUBMAN] Male 30's to 40's. He is KLAR'S closest Associate and
Bodyguard. Please Submit All Ethnicities. GUEST STAR
Burt would seem the most likely fit for Jamie, unless a casting call was not put out for his role because Joss already knew who he wanted. ;)