Bill Kenwright did not disclose the names of the targets, but is excited ahead of the new season with manager Roberto Martinez set to meet the squad of the first time
Caen striker Lenny Nangis has recently claimed he is attracting interest from Premier League clubs including the Goodison Park outfit, while the club have also joined the race to sign Celtic midfielder Victor Wanyama.
Kenwright is not worried by a lack of movement in the transfer market, even in light of rivals Liverpool's four new recruits and feels the club will make strides next month.
"There is no concern at all, not in the slightest," Kenwright told reporters at the club's Annual General Meeting. "[Martinez] has been away and you will always find July 1 onwards - when the current contracts end - is when it will start.
"Liverpool have had a sale [Andy Carroll to West Ham] in the transfer market, have got some money in and are spending some money.
"We have two enquiries going on for two players and if [Martinez] has any concern I haven't felt once ounce of it. He is back at the weekend raring to go."
Kenwright is excited by the future of the club under Martinez as the Spaniard looks to strengthen the squad and utilise the Under-21 side in the season ahead.
"He hasn't met the squad yet. It is difficult for me talking for Roberto but he thinks the squad is fantastic," said Kenwright.
"He wants to hold on to it but he also wants to bring in two or three players in the positions where we need them. The first step is to get the players back and get to know them and bring in two or three.
"His absolute passion is youth and he wants to get those players who are there or thereabouts in the Under-21s moving forward to play for the first team."