Mykhaylo Mudryk and Armaando Broja struck for the visitors to ease pressure on Pochettino and his players.
The manager later said: "It is the same feeling from the start of the season, the difference is the result we got what we deserve. The performance was very good. In the first half I think we play really well. Second half I think we controlled more of the game.
"Pleased for Mudryk and for Armando, for Misha he scored his first goal in the Premier League and for Armando after a long period out he scored again. The competition is really good for the team. I hope Misha is not a big issue because he feel something in his quad at the end of the first half and hopefully he arrives on Saturday.
"It's about maturity, adaptation we need to understand young people need time to settle. A massive change for him when he arrived here. When you arrive in a team its not easy to settle because being honest, too many young players arrive to a team that is not solid. It's not the cherry of the cake. They need to add something to the team to add something important. It is difficult but it about time, and to be patient. It is to trust these guys, these young talented players.
"It's a massive job, a step-by-step but very short steps. Sometimes people don't have the patience but for us it is patience. Even when were losing and not winning at the beginning of the season. We were calm, and believed and were confidence. Now we have won two games in the last few days, I think it is important to be calm, to keep improving, to trust and to build belief and confidence."