The 20-year-old, who started his Tottenham career as a winger, spent the first half of the season on loan at Bristol City before capitalising on Benoit Assou-Ekotto's hamstring injury to become the first-choice left-back for the last four games of the campaign.
"Benoit's a top-class player but Danny has done well," Redknapp said.
"I have always said to him that he could be a top, top left-back. That's where he plays best. He has got a low centre of gravity, he's quick, he's aggressive and has a great left foot.
"He is a real left-back in my opinion and there will be a big competition between him and Benoit for that position next year."