He has been missing from his home in Nuneaton since Friday 17 May.
Officers are still trying to find 29-year-old Wisdom Zulu, 29 from Nuneaton.
He is black, of slim build and 5ft 10in tall. He was carrying a black rucksack.
Warwickshire Police say they have reason to believe that Wisdom may be in Coventry, Luton, or another major city and are urging people to call 999 if they see Wisdom.
Detective Inspector Paul Sartoris said “We are now widening out our search, as we think there’s a strong possibility that Wisdom has left Warwickshire to visit another city.
“Wisdom, if you’re reading this, please get in contact with us as soon as possible so we know that you’re OK.”