The 32-year-old is still without a club after leaving Manchester United at the end of his contract over the summer, bringing to an end a 12-season stint at Old Trafford.
He has been linked with high profile moves to the likes of Real Madrid, Bayern Munich and Inter Milan, but not of these have materialised and he remains a free agent.
Spanish publication Fichajes reports that Real Betis are now leading the way to sign the experienced goalkeeper, as former Manchester City boss Manuel Pellegrini searches for a new stopper.
The report states that Valencia are also keen on De Gea, but Betis is the more likely destination for the Spain international.
Pellegrini’s side have had a mixed start to the campaign, picking up seven points from their first five games, although they have had tricky fixtures, with their two losses coming at Barcelona and Athletic Bilbao.
De Gea has not been short of options since leaving the Premier League and it is yet to be seen whether he accepts the challenge at Real Betis as he continues to train alone.
The long-serving Manchester United ‘keeper posted a statement on leaving the club which read: ‘I just wanted to send this farewell message to all Manchester United supporters.
‘I would like to express my unwavering gratitude and appreciation for the love from the last 12 years. We’ve achieved a lot since my dear Sir Alex Ferguson brought me to this club.
‘I took incredible pride every time I pulled on this shirt, to lead the team, to represent this institution, the biggest club in the world was an honour only bestows upon a few lucky footballers.
‘It’s been an unforgettable and successful period since I came here. I didn’t think from leaving Madrid as a young boy we would achieve what we did together.
‘Now, it’s the right time to undertake a new challenge, to push myself again in new surroundings. Manchester will always be in my heart, Manchester has shaped me and will never leave me. We’ve seen it all.’
For more stories like this, check our sport page.