Harry Redknapp revealed earlier on Saturday that QPR had accepted a bid for the French forward, who is now set to move to the Blues to replace Fernando Torres.
QPR manager Harry Redknapp revealed on Saturday that Remy, left out of the squad for the 1-0 win over Sunderland, was heading for the Loftus Road exit door, suggesting that Chelsea was his likely destination.
And, following the Blues' stunning 6-3 Premier League triumph at Everton later the same day, Mourinho explained that the club's pursuit of Remy had been stepped up after Fernando Torres' departure for AC Milan.
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"Today I told my people in the club that I have no news until the end of the game," the Portuguese told Sky Sports. "They know I don't like to communicate before the game.
"Obviously I know that we are trying since yesterday, since we knew that [Torres] was leaving, that we were trying to get Remy.
"But now, when I arrive in the bus is the time to make some calls and to have news."
Remy looked set to move to Liverpool last month before the deal collapsed after he reportedly failed a medical. However, Mourinho is not concerned with the former Marseille forward's fitness.
He said: "I have one fantastic doctor, we trust him completely, he has lots of people working with him in different areas.
"For sure they will try to identify what the situation is. But the information we have already from specialists in different areas is that he doesn't have a problem to play football."
Remy's signing would add further firepower to a Chelsea squad that already boasts the English top-flight's top scorer, with Diego Costa having netted twice on Merseyside to make it four in three games for the Spain international.