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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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.