The Swans tried and failed to bring in David Stockdale from Fulham and have struggled to find a replacement for Dorus de Vries, who left at the end of the season to join Wolves.
“I am confident we will get one in very soon,” he told Sky Sports News.
“And also because of the targets and the type he wo'nt be so big and will play the style of football we want, which will make it a lot easier.
“Of course we want to get one in sooner rather than later and I’m hoping that by the weekend or by the beginning of next week we will have something sorted.”
Meanwhile, striker Leroy Lita has completed his £1.75m move from Championship side Middlesbrough.