Redmond, 19, on Thursday became the Norfolk club's third signing of the summer when he moved from Birmingham, following the permanent deal for on-loan Lazio defender Javier Garrido and a record £8.5million transfer of Holland forward Ricky van Wolfswinkel.
Norwich are expected to continue to be busy in the market, as a £4.8million bid for Sweden attacking midfielder Ola Toivonen is said to have been lodged with PSV Eindhoven, while Lokomotiv Moscow's £6million-rated Senegal striker Dame N'Doye and Blackburn left-back Martin Olsson are two other reported targets for Hughton.
England goalkeeper Ruddy, meanwhile, is very much on Chelsea's radar as new manager Jose Mourinho seeks cover for Petr Cech. The Blues are understood to be ready to improve on their £5million offer which was rejected. Captain Grant Holt has also been linked with a move away from Carrow Road.
Hughton, however, stressed he was looking to further bolster his squad ahead of their training camp in Austria and a three-match pre-season tour to the United States.
"We have got no particular number on how many more will come in. We are no different to anybody else. We won't bring in unless we feel it benefits us," Hughton told a press conference.
"The target is always to bring in players as soon as possible to integrate them into the squad.
"If you look across the Premier League some have done good business, others have hardly done any. It really is about using the period of time you are allowed in the best way. That means we are allowed until the end of August, but I want to stress again it is about adding to what we have and we are happy with what we have here already. If we can do it earlier, then great."