The Chelsea manager told reporters at his pre-match press conference that the duo linked with moves away will play a part against Bradford City.
The Blues boss was asked questions about the future of both players, specifically on links with Salah to Serie A side Roma, which Mourinho suggested there was nothing in the reports, and whether an offer deemed good enough for could lead to Schurrle's departure.
He told reporters at his press conference: "Our desire is to keep the same squad which reflects that we are happy with the players. It reflects that we are happy with the work we did in the summer to prepare for the season, it reflects the trust we have in the group and if possible. We don't want to be involved in the transfer window."
On Schurrle specifically, he said: "The principle is that we would like him to stay. The question is not whether he is allowed to go or not. The question is not whether we get a good offer. The question is whether we have a phenomenal offer and for the player to be super-keen to accept a new challenge in his career, because we don't want to sell our players."
Mourinho said that if an offer deemed good for the club came in then he would have to act, and refused to comment on whether Fiorentina's Juan Cuadrado would move to the club, with reports earlier this week suggesting they could move for the Colombian.
"I think he fits well in Fiorentina's squad and Colombia's squad, not in Chelsea's squad."
Away from transfers, the Chelsea manager said that John Terry will be rested for tomorrow's game against the Bantams, and that Petr Cech will start in goal after missing out to Thibaut Courtois in the League Cup semi-final against Liverpool earlier in the week.