Shea, signed rom MLS side FC Dallas during the January transfer window, comes into contention after recovering from a foot operation that prevented him from making his debut against Reading on 9 February.
Wilson has recovered well from a broken leg sustained in a goalless draw with Sunderland in October and both players came through a behind-closed-doors game with Scunthorpe on Monday unscathed.
"The two of them will be in the squad - whether or not I start with them, we will have to wait and see," said Pulis.
"I think Brek has been out for three or four months with an injury, so this is almost like a pre-season for him, but he is a fit lad I have to say.
"The work we have done with him has shown that he is very mobile and athletic, and very willing as well. So he is not far away.
"I think Willo is close. Willo is on the launchpad, ready to go - he is just waiting for the opportunity, and he will go."
Michael Owen also featured in the game against Scunthorpe and despite coming through the contest without any problems, he subsequently suffered a thigh strain in training.
Fellow striker Cameron Jerome could also be involved against Fulham, despite picking up a knock to his knee.
"Michael actually trained really well on Tuesday after the game on Monday, but he felt his thigh and I'm not sure he is going to be fit for Saturday. We will wait and see," Pulis said of Owen.