According to Don Balon, De Gea himself has discovered Real chiefs are looking at Atletico Madrid stopper Oblak too.
And their interest in the Slovenian is said to be growing as the summer transfer window draws closer.
Real have already ruled out making a move for Chelsea goalkeeper Thibaut Courtois at the end of the season.
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David De Gea almost left Manchester United for Real Madrid back in 2015
David De Gea displays quick reactions in save for Man Utd
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Real Madrid could sign Jan Oblak from Atletico Madrid if a deal for David De Gea falls through
And United’s refusal to negotiate a deal for De Gea means Oblak is seen as a realistic solution to their problem.
Atletico are reluctant to lose Oblak this summer with team-mate Antoine Griezmann set to leave the Wanda Metropolitano.
But a huge offer from city rivals Real could tempt them into letting the 25-year-old head for the exit door.