But, with the club cash-strapped and in the middle of a takeover battle, it seems that the County boss will have to make-do with his thin squad of players ahead of the busy Christmas period.
Thordarson had just 18 fit players to choose from for Saturday's win at Boston and the Iceman has admitted that he may have to call on some of the Youth Team players should his team pick-up any more injuries or suspensions in the coming weeks.
"On Saturday we had 18 fit players and it is not a great deal. All we need is a suspension or a red card or injury and we could have serious difficulties."
The Notts manager currently has Steve Scoffham missing to a broken cheekbone, whilst transfer-listed striker Gavin Gordon is also struggling with a hamstring injury.
But, with the financial-situation as it is, Thordarson admits only a favour from another manager could see him add to his squad.
"I am not too optimistic about that but all I can do is prepare myself to try to hope that I will be given something to play with.
"Then I can try to bring in at least one or two players to strengthen the squad."
One of those players who did feature Saturday was non-contract defender Adam Tann, who is currently in limbo with the club currently unable to afford to offer him a permanent deal.
Thordarson has also recently spoke of his frustration at the behind-the-scenes rangle, that centres around former Supremo Derek Pavis' bid to take charge of the Magpies for a second time.
Despite the obstacles though, Notts currently sit in a respectable 10th position in the table going into Saturday's home match against Torquay United.