Lambert was impressed with Drury's performance on his 300th appearance for the club but is eager to bring in extra cover.
"Adam did great. But this club only has one recognised right-back, which is strange," Lambert told Norwich Evening News. "We have to try to address it. I hope Jon will be back next week and then we'll try to get somebody because one right-back is never enough."
Meanwhile, midfielder Matthew Gill will undergo checks on Monday to see the extent of the calf injury which forced him off against Stockport in his first senior match since August.