Remy, who joined the Blues in the summer of 2014, has struggled for game time this season, starting just one Premier League game so far.
The France international has since been linked with a return to Newcastle, where he spent the 2013/14 campaign on loan, as well as Premier League leaders Leicester.
The 29-year-old is currently nursing a calf injury, but Hiddink insists that will not affect a potential move before the January window shuts.
He said: “Remy has a slight calf injury right now. We'll see what happens in the upcoming hours. But I don't think being injured now has any influence on whether he stays or goes."
Chelsea are relying heavily on Diego Costa up front with Radamel Falcao out of action with a thigh complaint, and are expected to replace Remy with Alexandre Pato.
The Brazilian is set to arrive at Stamford Bridge on a loan until the end of the season from Corinthians to offer support for Costa.
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Guus Hiddink says injury won't stop Loic Remy leaving Chelsea in January
Loic Remy - Spotlight On
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And Hiddink, who replaced Jose Mourinho at the helm in December, has denied the imminent arrival of the AC Milan striker is a gamble.
"It's not a gamble," the Blues boss added. "Coming on loan makes it possible to have a good view on him.
“Whether he is able to adapt to the high demands of the club and the league. He is in London. He is now in the process of bureaucratic paperwork.”