It has already been a summer of change at Tannadice, with the likes of Willo Flood, Jon Daly and Barry Douglas having moved on.
Bolstering the ranks ahead of the 2013/14 campaign is now a top priority for McNamara, who has been linked with approaches for several players - including Blackburn Rovers striker, and former Terrors favourite, David Goodwillie.
McNamara is eager to get fresh faces on board as quickly as possible, to give them a full pre-season, and says he is confident additions will be made sooner rather than later.
He said in the Daily Record: "There should be progress this week.
"I'm looking for a striker and a left-back and I'm expecting to have fixed up more new faces by the time the players report for pre-season.
"I've spoken to a left-back who I want on trial and it could be tied up soon."