Remy, who joined Newcastle on a season-long loan from Queens Park Rangers earlier this summer, has not been able to take a full part in training due to a calf injury.
The Frenchman will miss next Monday's opener at Manchester City and Pardew expects him to be ruled out for the clashes with West Ham and Fulham.
Pardew is refusing to take any risks with Remy's fitness even though it only leaves him with Papiss Cisse and Shola Ameobi as his fit recognised strikers.
"Remy is still on the road to recovery," said Pardew. "Man City will come too soon, and so might West Ham and Fulham.
"It's becoming increasingly likely he will be unavailable - he's not kicked a ball yet, and only been running.
"It's very important that we make sure he's right."