He was loaned out to Nuneaton Town in February 2013.
Defeats against Nuneaton Town began an inconsistent run which led to a nail-biting end to the season in the race to make the play-offs.
Released in the summer of 2010, he then spent a season with Worcester City, before joining Nuneaton Town.
Nuneaton also has a football team called Nuneaton Town.
At the end they finished third behind champions Leamington and near neighbours Nuneaton Town.
Alcock signed for Nuneaton Town on 5 August 2010 following a successful trial period.
He got his 2010-11 campaign of to a good start by scoring in a 2-1 defeat to Nuneaton Town.
Five years later they changed their name to Nuneaton Town, and played until 1937 when the club was disbanded.
In 2008 the club was liquidated, and were reformed as Nuneaton Town - suffering a two division demotion.
A period with Nuneaton Town preceded a third spell at Coventry.