Albion are hoping to tie up a deal with Gera this week.
His agent, Vladan Filipovic, said: "I can't say anything concrete about Zoltan Gera yet - but there is nothing to worry about regarding his future.
"Maybe this week will be decisive but his future will be decided, for sure, by the beginning of July.
"We know he will leave Fulham but it is conceivable he would like to stay in England.
"A lot of clubs are interested in signing him. There is interest as well from a Serie A team."