Västra Frölunda, his current club, are prepared to sell him, though any discussions about a fee are a long way down the line as he has yet to be fully assessed.
Friday marked the first day goalkeeping coach Ludek Miklosko was available to work with Dime, who has been training with the club for a couple of days.
"I am hoping for a transfer," he says, "that would be nice, but I have not spoken to anyone yet.
"Hopefully that will happen this weekend.
"I know a few players at West Ham and I think I can learn a lot from Ludo and the other goalkeepers here.
"I am only 24-years-old but I would eventually want to take over, of course.
"But I know all about David James, who is a big fellow and a good goalkeeper."
Dime, who spent last season on loan with AIK Stockholm, has nine Sweden under-21 caps.
Glenn Roeder admits he is actively seeking another goalkeeper as cover for David James and Shaka Hislop, and says: "I am comfortable in saying we need another goalkeeper because Craig Forrest will not be available for a number of months, and the same applies to Steve Bywater who has a fractured schaphoid.
"For those who don't know that is a bone in the wrist - obviously vital for a goalkeeper - and that has put him out of action for maybe three or four months.
"So we need a third goalkeeper, and I have someone in mind now.
"I think we will get someone in the next week who will be able to stay with us for the rest of the season."