Dumped out of both cup competitions by lower league opponents last week, Villa's only remaining target this season is to avoid relegation.
Lambert's side sit just one point above the bottom three, and his reliance on a core of players relatively untried in the Premier League has brought calls from supporters for new, experienced signings.
But with little time left to strengthen his squad, he said: "At this minute there's not much really happening. There's been guys we went for who have gone to other clubs.
"How many players are we short? There's a few. But I knew the remit of the job was to rebuild. To rebuild something you have to strip it right back.
"But if you are asking me if there will be a vast amount of money available during the rest of the transfer window, there won't be."
There could yet be departures this week, though, with both Alan Hutton and Stephen Warnock linked with moves elsewhere.
Lambert said: "There are things going on at the moment on that side of it, but Stephen and Alan are here at the minute until I hear otherwise."
The Scot also repeated his determination to stay in the job, saying: "I can only do, or try to do my best. There's no chance I'd walk away from it. You have to fight like anything to get up.
"You pick yourself up and there's no point in lying down and accepting it.
"I've never had a run like this as a manager or been hit from pillar to post like this. It's an experience you take on board and you use it.
"You can't have everything going your way in your managerial career every single time. You have to take the rough with the smooth and when the rough comes you take it."
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