The 27-year old has passed a medical and will officially become a Brum player when the loan window opens on Saturday.
Lita joined Swansea from Middlesbrough in July last year but has failed to figure in Michael Laudrup's plans since he took over from Brendan Rodgers and has been farmed out to Birmingham to play under Lee Clark until December.
"I know Leroy very well having worked with him at Norwich during a loan spell in which he scored seven goals in 16 games," said Clark.
"He's a proven goalscorer who has power and pace and there's no doubt that he'll add quality to my squad."
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