Chelsea boss Jose Mourinho refused to comment on striker Diego Costa's fitness ahead of this weekend's season opener against Swansea City.
The Spain international did not feature against Arsenal in last week's FA Community Shield defeat and is a major doubt for Saturday's game.
The Portuguese also confirmed that a new left-back will join the club before the end of the transfer window.
"I don't know [who is available for selection]," Mourinho told reporters on Friday.
"I don't know [about Diego Costa], I promise I don't know. I think he is going to train but the decision to play is another story.
"I have [Loic] Remy and [Falcao], I go with Remy and Falcao [if Diego Costa is not fit].
"Like I did last season, many times, Remy and [Didier] Drogba but obviously he is a top striker, he's such an important player for us, not just for the goals he scores but also for the football he produces.
"So obviously I cannot say I don't need him but I don't like to speak about injured players.
"[Buy another striker?] No, we bought Falcao because we needed [to have] three strikers and three is the perfect number.
"[My search for a left-back?] It's something that is easy to agree in between all of us in the club, it's not a situation where the manager says one thing and the board says 'No, you are wrong, you don't need [a left-back]'.
"It's a basic thing, we have only [Cesar] Azpilicueta, we need a left-back, the board knows that, we all know that.
"My feeling is that we're going to have one but obviously there isn't just one left-back in the world of football, there are different options and we will decide when it's possible to decide."