Hodgson has been preparing his Albion side for Saturday's FA Cup clash with Norwich at The Hawthorns amid ongoing talks with the Russian club about taking the 28-year-old left-sided former Hungary international on loan with a view to a permanent deal in the summer.
Hodgson is keen to strengthen his wide options in midfield, with Zoltan Gera and skipper Chris Brunt both long-term injury casualties.
Hodgson said: "Huszti is a player who has had a very good career with Metz, Hannover and now St Petersburg, who have been the top side in Russia for two or three years.
"He is a player who comes with a very good CV, a type of player we don't really have at the club, not least with Gera and Brunt injured long term.
"We hope we can finalise the deal with the club and the player himself and he will be a good addition to our squad for the final 16 league games if it all gets tied up."
Hodgson has also not given hope of signing Birmingham defender Liam Ridgewell, even though Albion's initial bid was rejected by their midlands rivals.
He said: "I know that Birmingham are still in dialogue with Dan Ashworth [West Brom's sporting and technical director]. Whether that means there will be another offer from our side I couldn't say.
"I was under the impression that the offer we made was pretty much a final one, but who knows? It would be nice for a deal to be done and, if it can't, then that is okay too."
Hodgson has written off any hopes of signing defender Chris Baird from his former club Fulham, however.
He said: "We have been told he is not available. His name was mentioned and I said yes, if he was going to be released we would be interested.
"Then I have been informed that Fulham will not be releasing him."
Midfielder Paul Scharner has been troubled by an Achilles problem in recent weeks and will miss the clash with the Canaries tomorrow but central defender Jonas Olsson is available to face Paul Lambert's side.
Olsson returned to the side in last week's win at Stoke after recovering from a calf injury and was allowed to return to his native Sweden to attend a funeral this week.
Meanwhile, Baggies keeper Ben Foster is hoping his cup success with Birmingham last season can rub off on Albion.
Foster said: "Blues won the Carling Cup and also got to the quarter-finals of the FA Cup last season and it would be good to do something cup-wise with Albion this season.
"The FA Cup is so famous, everyone wants to do well in it and at the end of my career I would like to be able to look back and say I won it."
Foster is taking nothing for granted against a Norwich side who have already inflicted on West Brom one of their seven home league defeats this season.
He said: "We know exactly what to expect from Norwich. They are a very hard-working team, they are going to be on you for 90 minutes, and always work hard.
"That is the basis of their football which has served them well so far."
