Paris Saint-Germain forward, Neymar, has said he still needs a month to recover from a foot operation.
In quotes reported on the club's Twitter feed, Emery said: "Neymar is close to a return after the latest tests".
With a fifth successive League Cup already won, PSG completed the second leg of a domestic treble - they are also through to the French Cup semi-finals - and could yet break their record 96-point haul from the 2015-16 campaign. Their lead was then doubled soon after when Cavani rose to meet Yuri Berchiche's left-wing cross with a bullet header into the bottom-left corner.
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A period of outstanding attacking play was rounded off in the 20th minute when Cavani turned and hit a ball beyond the Monaco defence on the halfway line, which allowed Di Maria to scamper clear and lob Subasic with the deftest of chips to make it 3-0.
And things got even uglier in the 27th minute as Javier Pastore's cross with the outside of his right foot found Lo Celso, who nodded in his second. Cavani was soon involved for the better in the 14th minute, as he cleverly fed Dani Alves into the area and the Brazilian set up Lo Celso for an easy finish. Rony Lopes pulled one back for Monaco before the half was out, tapping in Touré's drilled cross (38'), but his muted celebration told its own story.
But PSG continued to attack at will and Pastore's assist for Di Maria allowed the winger to grab his second of the game on 59 minutes.
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Emery's charges were not done there as they were gifted a sixth in the 76th minute thanks to an own goal from Monaco's Radamel Falcao.
Germany global Draxler rounded out the demolition, firing home via a deflection as PSG clinched the title at home for the first since 1994 while shattering Monaco's 17-match unbeaten run.
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