Yerry Mina was one of three signings for Everton on Deadline Day but Silva insists the Colombian defender's arrival does not adversely impact the future of the team's existing central defenders.
The deal sheet for the loan agreement was submitted to the Premier League before the 5 p.m. deadline on Thursday, giving Everton and Chelsea extra time to finalise the details.
The Frenchman spent the last season on loan with Stoke City, making 37 appearances in all competitions.
He was linked to Manchester United and West Ham United this summer.
"I do not trust that new players will arrive and I'm not confident in that so now I will only focus on the players I have", he said.
Manchester United did enquire about signing the defender earlier this week but it seems negotiations never took off and the centre-back will continue at the Wanda Metropolitano.
Gomes also followed Mina to Everton on loan.
However, Tottenham have become the first Premier League club not to sign a player since transfer windows were introduced in 2003, with their primary target Jack Grealish remaining an Aston Villa player.