The 33-year-old victim was found with devastating bite injuries after leaving the house.
Police said two dogs were seized in the Rubery area of Birmingham after Wednesday's incident.
They are now looking for two more American bulldog types, which are not thought to be a banned breed.
Insp Leanne Chapman, of the West Midlands Police dog unit, said they knew at least two were missing, but revealed there may possibly be a third.
Seized
West Mercia Police are assisting the hunt while drones were being used to scan the surrounding neighbourhood.
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Slips don't worry prizefighter Saka
BUKAYO SAKA says Arsenal have not lost any belief that they can win major silverware this season.
WRONG TO GIVE FORD A KICKING
Squad must share blame for late miss
Nurse chief: I told hospital my fears over Letby
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Arthritis could be found earlier as genes link it to osteoporosis
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Camilla resting at home as she fights chest infection
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'We all felt we'd let him down...'
Stars call for safeguards for young musicians after death of Liam Payne.
Bear hug from the Boss
BRUCE Springsteen shows Jeremy Allen White who's The Boss as The Bear actor prepares to play him.
Ban on vaping and smoking outside schools
...but pub gardens get reprieve
A riven America and carries its hope fear into the polling stations
AMERICANS went to the polls yesterday to cast their votes for Donald Trump or Kamala Harris in one of the most fiercely contested US election races in history.
£1billion shares' sale to beat Reeves tax raid
FEARS of a capital gains tax grab in the Budget led to investors ditching £1billion of shares from UK companies.