Swansea are believed to be lining up the Belgian as a replacement for Everton-bound Gylfi Sigurdsson, who is joining Goodison Park for a fee nearing £50m.
Albion, who spent £13m rising to £15m on Chadli last summer, are happy to keep the Belgian this season, but may be swayed by an offer in excess of £25m provided they can find a suitable replacement.
Pulis started 19-year-old Sam Field ahead of Chadli in Saturday's 1-0 win over Bournemouth and then brought on 17-year-old midfielder Rekeem Harper for his first-team debut while the Belgian remained on the bench.
“It's been publicised that Swansea are interested in Nacer – if they are, we'll deal with Swansea," said Pulis.
“Let's just get our players in first. I'm excited at the opportunity of trying to get some of these players in.
"We've got targets, we'll get them in the next two weeks, and we need to."
The Baggies are hoping to make two signings before the Burnley game next weekend, with Pulis targeting a centre-back and a central midfielder.
Jonny Evans also missed Saturday's victory over Bournemouth, and Pulis admitted he had to take his new captain's word over the injury.
Albion have already rejected a bid from Leicester for the in-demand defender this summer, and insist he is not for sale.
“Jonny felt his hamstring in training on Friday and we didn't want to take a chance," said Pulis. "He went in to see the doctor at the training ground and came to the ground and told me on Saturday it was sore. So we take his word for it.”
Salomon Rondon was also left on the bench, and only made a cameo appearance in the final few minutes of the game.
After the final whistle he stormed down the tunnel and reportedly threw his shirt on the floor while other members of the team applauded the Albion fans.
"He was most probably disappointed he never started," said Pulis. "I didn't see him throw his shirt. We've got competition there now which is good. I hope it helps him in the long run, it usually does."