At the start of this season, the 34-year-old was considering his future at Stamford Bridge having struggled to secure a regular role ahead of Timo Werner and Tammy Abraham in Chelsea’s attack.
Giroud hit form at the end of November and has scored eight goals in his last nine appearances for Frank Lampard’s side.
Lampard is keen to keep Giroud at Chelsea, but the striker has already been warned by France boss Didier Deschamps that he will need regular playing time ahead of his nation’s European Championship campaign next summer.
And Pirlo admits he would be keen for Giroud to join Juve to help his side’s challenge in Serie A and the Champions League.
When asked about a potential move for Giroud, Pirlo told DAZN: ‘He’d be handy.
‘We already discussed with the club what we want to do and if there are any opportunities.
‘Maybe a striker who can rotate with our strikers.’
Giroud, however, insists he expects to remain with Chelsea for the remainder of the season.
‘The rest of my short-term career, I see it at Chelsea,’ Giroud told Dauphine Libere.
‘I’m coming to the end of my contract at Chelsea next June, even though we still have one year with options.
‘We will do the accounts at the end of the year.
‘But once again, I have the ambition to win something with Chelsea this season because I have high hopes because of the quality of our group.’