Villa are now just four points above the Premier League drop zone following Saturday's 2-0 home defeat to West Ham, but Lambert has pointed to last season when they survived despite being in a far more precarious position.
"There are two ways to look at it - (the situation) will either take you under, or you thrive on the challenge," said Lambert.
"It's the same as last year. You either meet it head-on or it takes you under.
"We came through last year when we were in a worse position than now, so we will come through this one.
"If you look at it everybody is capable of beating everybody else, with one win taking you up the table, one defeat dropping you down. That is the way it is at the moment."
Villa now face another crucial game on Tuesday against Cardiff at the Cardiff City Stadium where Lambert's close friend and fellow Scot Malky Mackay is no longer in charge after he was sacked just after Christmas.
"I've spoken to him, but it's not something where I've sat and asked 'What happened?'," said Lambert.
"The job he did was excellent, getting promoted, which is never an easy thing to do, and he had the crowd right behind him.
"But football is a strange game at times.
"It's still going to be a really good atmosphere, and whether Malky was in charge or not, it was always going to be a hard game."