Celtic’s Victor Wanyama, Roma’s Pablo Osvaldo and Cagliari’s Radja Nainggolan have all been linked with big money moves to St Mary’s, while Dejan Lovren has already been recruited for £8.5m from Lyon.
Pochettino admits he is looking to do more business in the transfer market, telling reporters: "We're considering two or three players to bring into the team and have total confidence in keeping our valuable players.
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"That shows we're a serious and ambitious club. Unfortunately we don't have space for all the players we've been linked with!
"Right now, our main concern is preparing for pre-season. We can't think about seven or eight weeks down the line.
"We have certain positions we want to reinforce. I am confident that our goals will be met. Of the list of 15 to 20 players I've seen linked with us, all are quality players. However, our goals are private.
"My message to the supporters is that we want to bring in players who will improve the squad and to encourage competition."
The Saints returned to training on Wednesday, and the former Espanyol boss is putting his players to work as he prepares for his first full season on the south coast.
"I'm very happy to be back. It's always good to get back to work and to see how fit my players are," he said.
"I want to congratulate them, because their preparation for these sessions has been very good. We're demanding a lot."