David Cooley, 52, died on Thursday after sustaining head injuries outside the King Richard III pub on Monday.
A 55-year-old man, originally detained on suspicion of grievous bodily harm, has been rearrested on suspicion of murder.
A 47-year-old man has also been arrested on suspicion of perverting the course of justice.
Mr Cooley, from Dersingham Road, Leicester, was involved in an altercation outside the premises in Highcross Street, Leicestershire Police said.
A post-mortem examination found he died from a head injury.
Both arrested men have been released on bail.
A man has been arrested on suspicion of murder after the victim of a serious assault died in hospital.