As it stands, the duo will be free agents in the summer when their current deals are due to expire.
However, when asked about the situation, Jol has suggested that a successful conclusion is not too far away.
"I think we are close. We will have a few players [signing new deals] in the next couple of weeks. Over the last couple of months Brede has been a tower," Jol is quoted as saying but the London Evening Standard.
"I do not have to convince 90% of my players [to stay] because they want to play here. They love to play here and Giorgos loves to play here."
The Whites are currently 11th in the Premier League standings.