The Welsh side are locked in a fiercely-contested relegation battle in the Premier League this term, although they gave their survival hopes a boost last night by claiming a surprise 3-1 victory over Arsenal.
Carvalhal's side have been linked with a string of players this month - including the likes of Andre Ayew, Nicolas Gaitan and Lazar Markovic - as they look to strengthen for the relegation fight, but the manager made a frank admission about those ambitions after last night's game.
"I understand the market is very hard for us and we are doing the best we can to achieve good players," he told reporters.
"I hope this victory will help with their decisions, because so far most don't want to come to Swansea. It is not because of good offers, or we are not trying, but the reality some do not want to come, some clubs are waiting on other players, so we must wait. We understand that.
"I want players to cover gaps, to do specific things we do not have. It does not mean I think we are weak, it means if we have them we can jump to another level. If we do not achieve this, I trust these players. They are going to new levels with confidence high. It is a consequence of the dynamic and the way they are working very hard. We are still waiting and let's see if something happens."
The Swans' victory saw them move out of the relegation zone on goal difference.