Mourinho, who left Inter for Real Madrid in 2010 after winning the Champions League, sparked speculation when he said he could return to one of his former clubs in the summer.
Moratti said he was still on good terms with the Portuguese, but there was no comeback imminent.
"I exchanged some courtesy text messages with Mourinho," Moratti said.
Serie A
Napoli stay second with win over Atalanta
17/03/2013 AT 16:14
"Of course his loyalty and love for Inter are pleasing. There aren't the right conditions for a return to Inter and I haven't discussed an eventual project with him."
Chelsea are the favourites to land Mourinho at the end of the season, when he is widely expected to leave Madrid.
Moratti's comments lend weight to the theory that The Special One was talking about Chelsea when he said: "Maybe I could return to somewhere I've already been. Watch out for surprises."
Moratti said he wanted to give coach Andrea Stramaccioni another season, adding: "We knew it would be a tough year, but I want to confirm him and he is picking up valuable experience for the future."
The Inter president also said he had "no regrets" about letting in-form striker Mario Balotelli move to Manchester City in 2010 and then allowing rivals AC Milan to bring him back to Italy in January.
"We knew we wouldn't take him back because of what happened in the past but there is admiration for him and I am happy that he is becoming more professional - that was the only problem he used to have," the club president said.
The 22-year-old netted a screamer in Italy's 2-2 friendly draw with Brazil last Thursday before scoring both goals in a 2-0 World Cup qualifier in Malta on Tuesday.
Serie A
Balotelli hits brace as Milan beat Palermo
17/03/2013 AT 13:33
Serie A
Balotelli 'racially abused in Milan derby'
25/02/2013 AT 09:29