Cech has been inconsistent for Arsenal this season.
At 34, his struggles suggest the best years of his career may be behind him.
Arsene Wenger could look to sign a replacement should the Frenchman remain in the Emirates hotseat beyond the current season.
Reports in Spain suggested they were interested in Real Madrid's Keylor Navas.
Jordan Pickford is on Arsenal's radar ahead of the summer transfer window
Arsenal line-up predicted to face Crystal Palace
Fri, April 7, 2017
Express Sport predicts who will start for Arsenal in their clash with Crystal Palace at Selhurst Park on Monday (8pm)
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Who will Arsene Wenger pick in his Arsenal starting XI against Crystal Palace?
But Bleacher Report claim they are ramping up their interest in Sunderland's Pickford.
The Black Cats look destined to be relegated at the end of the season and are currently 10 points clear of safety.
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A mass exodus of stars is expected with the future of Jermain Defoe also uncertain amid interest from fierce rivals Newcastle.
Petr Cech could leave Arsenal this summer
It is said Arsenal sent scouts to watch Pickford during Sunderland's 1-0 defeat to Watford last week.
The report says there is a high chance the Gunners will make a move for him once Sunderland's relegation to the Championship is confirmed.
Any potential swoop could spell bad news for their Premier League rivals.