The 23-year-old winger was likely to have had a peripheral role at parent club Chelsea this season and opted instead for a temporary switch to the Britannia Stadium.
Moses spent 2013-14 on loan at Liverpool, but first-team opportunities at Anfield proved limited.
The Nigeria international - who featured for his country at the World Cup - has now plumped for a move to Staffordshire and he revealed that manager Hughes was an influencing factor.
"I had a few options to go to other clubs, but when I heard about Stoke I knew that they had a good manager and I thought it would be good to come here and work under him," he told the Stoke Sentinel.
"He's a great manager, and was a great footballer too, and for me to play under him will be a great achievement.
"I just want to give 110 per cent to the club and hopefully we will achieve what the club are looking to do this season."
