The 29-year-old has one year remaining on his contract with Steve Clarke's side.
Leeds United were reported to be interested in his signature this summer, but the player's wage demands mean that any deal with the Championship club is unlikely.
Tamas joined West Brom in 2010 and agent John Kirtland believes the defender is keen to remain with the Baggies.
"Gabi is ready to come back to West Brom for pre-season and fight for a place in the team," he told the Birmingham Mail.
Tamas was recently embroiled in controversy when cameras spotted him breaking into a Bucharest flat, but Kirtland says that all parties have moved on.
"The matter (in Romania) has been dealt with as far as we're concerned. If West Brom want to have any further conversations with him, then they will - they've not mentioned that they wish to see him urgently," he said.
"From Gabi's point of view, he returns to pre-season on July 7 and appreciates it's a big year for him.
"He's settled at West Brom and is determined to impress the coaching staff.
"We will look and see where he is during the season. Players come and go between now and the end of the transfer window.
"If Gabi is still at West Brom but he's not playing, then we will re-assess his options around Christmas time."