Chelsea finished third in the Premier League behind Manchester City and Liverpool.
The Blues will be in the hunt for new defenders this summer as both Antonio Rudiger and Andreas Christensen are leaving the club for free.
Tuchel knows that his team needs to close the gap to Manchester City and Liverpool and needs to strengthen the attack in the summer.
But Chelsea are unable to make any signings until Todd Boehly completes his buyout of Roman Abramovich.
“There is no need to make excuses now, it is just the situation we are in and we have to be as quick as possible,” Tuchel said.
“Right now, of course, it is unsatisfying because our hands are tied and we cannot act as we want.
“We have clear ideas for the profiles and characteristic of these players (we want to sign). It is not like you put a name on the list and then you get the player.
“The two top teams are what they are – a benchmark of consistency. This is the situation and from there we do our very best to be competitive because this is what we want to be.”