Frimpong has signed on loan from Arsenal for the rest of the season, but he did not complete the move in time to be involved in Saturday's 4-1 FA Cup defeat at Manchester United.
Jol has suggested the 21-year-old midfielder could play a part at Craven Cottage in midweek if he proves his fitness.
"He will train with us and then we'll see how fit he is and whether he can play on Wednesday," said Jol.
"I feel he can play a good part in our squad."
The Cottagers' cup hopes were crushed at Old Trafford as Aaron Hughes' goal proved a mere consolation, but midfielder Alex Kacaniklic is confident Fulham can produce a response against the Hammers.
"We know that we need to raise our game and a win against West Ham would put things back on track," he said.
"It's been a difficult period and January has been a strange month for us. It started well with a win at West Bromwich Albion and there was the draw with Wigan, now we have lost our last two games.
"But we are determined to pull through. We want to be a lot higher in the table so we have to start winning again. Hopefully that starts in four days' time.
"West Ham are a good side, but we feel confident of beating anyone at Craven Cottage."