Lloris is a target for big-spending Paris Saint-Germain, after revealing he will consider his future should Spurs miss out on Champions League football next season.
But French team-mate Giroud believes Lloris would like to seal a shock switch to the Emirates.
"We go out together and talk about everything," Giroud said.
Lloris (right) and Giroud are close friends and French team-mates [GETTY]
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"We talk about life and sometimes the French team a bit and our wish to have a great experience together at the World Cup.
"Have I asked him (Lloris) to join Arsenal? Yes, I have with Lolo (Laurent Koscielny). He would have liked to, he would quite like to. You will have to ask him the question."
No player has moved from Spurs to Arsenal since Sol Campbell in 2001, although Rohan Ricketts, David Bentley, William Gallas and Emmanuel Adebayor have since gone the other way.
Giroud has been tempting Lloris to move to Arsenal [PA]
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