The Danish boss has already added to his squad with the additions of La Liga imports Jose Canas and Jordi Amat, purchased from Real Betis and Espanyol respectively.
The club are now looking to complete a further three signings during the transfer window, with Wilfried Bony – who admitted his ambition to play for the club – a potential name in the offing.
|40/1||Swansea are 40/1 with bet365 to win the Europa League
“We've worked hard during the last month or two with a lot of offers in for a lot players and we're hoping to bring one or two of those main targets which have been publicised quite a bit.
“Two players are in and I would expect the full five to be in by the start of the season. Those timescales haven't changed.”
Swansea severed ties with Laudrup’s agent, Bayram Tutumlu, who suggested the Dane was unhappy with the lack of resources available to him in the transfer market.
However, Jenkins has played down the controversy and insisted that the incident has not affected the club's business or indeed his relationship with Laudrup.
“A lot of that was blown out of proportion. I'm not friends with any agent as such, but they are part of football and we do our best to deal with them in the right way.
"Things have settled down and we are looking forward to the new season. Things sell papers but it didn't affect what we were doing and this is how pre-season is at times, we have to deal with it.
“My relationship with Michael Laudrup has always been very good and it's never been in doubt. We weren't close to losing him as far as I was concerned.”