The defeat meant Roma failed to qualify for next season's Champions League and prompted questions about whether the 60-year-old would remain in the Italian capital, having been linked with Paris St Germain.
"I don't think he can play. Honestly, I hope he can make it for the bench. It's the last game of the season even if after that we have Spezia," Mourinho told reporters ahead of next Wednesday's final in Budapest.
"It's helping these kids (players) to grow, to achieve important things," he said. "It's also helping the Roma fans who have given me so much since day one. It's an immense joy to get to another final.
"I'm not stupid, you know," Mourinho said. "Today, I went to the game with a microphone. I recorded everything. From the moment I left the locker room, to the moment I returned. I protected myself."
Jose Mourinho called on his strikers to shake off the "playmaker bug" and focus on scoring goals
Mourinho, who took over at Roma in May last year, was in tears as he embraced his coaching staff after the win.
The two-time Champions League winner's arrival came like a bolt from the blue for Roma's trophy-starved supporters.
Mourinho began work at Roma on Friday promising to restore long-term prosperity after the Serie A club came 29 points behind champions Inter Milan last season.
After Mourinho's appointment as Manchester United manager in 2016, he made Pogba the world's most expensive player
Mourinho says he has learned to deal with people questioning the methods of "one of the most important managers in the game".
The 27-year-old England captain scored both Spurs goals in the first leg of the last-16 tie in London on Thursday.
Mourinho said Bale had reported "not feeling good" and had asked for a scan.
Mourinho faces a major challenge to keep Tottenham's season on track after a fresh injury to talismanic striker Harry Kane.
Jose Mourinho said Wednesday that he does not expect Dele Alli to be reunited with his former boss Mauricio Pochettino at Paris Saint-Germain.
This game is the second to be postponed due to COVID-19 this week after postponing the match between Manchester City and Everton.
The Portuguese coach conceded that he is unable to keep all of his players happy.
London has been placed under Tier 2 COVID-19 restrictions by the British government, paving the way for a limited return of fans to the Tottenham Stadium.
Mourinho has been handed a suspended one-match European competition ban, UEFA said on Friday.
Mourinho played down expectations on forward Gareth Bale, saying the Welshman cannot be the same explosive player who left the club to join Real Madrid.
Bale started for Tottenham Hotspur for the first time in seven years and helped them to a 3-0 win over LASK in their first match of the Europa League..