The Ukrainian defender could feature for Barca against Real Zaragoza at Camp Nou on Sunday.
Chygrynskiy has been out of action since September due to a knee ligaments injury.
Sport says Barca coach Pep Guardiola is keen to pair Chygrynskiy with Gerard Pique at the back.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.