Spurs have until Friday to activate their option to play at Wembley after their application to host 27 matches at the stadium's full 90,000 capacity was approved.
Yet Levy has revealed the club are seeking "greater certainty" that their new 61,000-seater stadium will be ready in time for the 2018-19 campaign.
Tottenham could therefore stay at their current ground next season and play home games at Wembley the following year, before moving into the new stadium for the 2019-20 campaign.
In a statement alongside Tottenham's latest financial results on the club website, Levy said: " We continue to focus on ensuring that the future of the club is protected at all times.
Read the full article on eurosport.co.uk: Levy suggests Tottenham could play at White Hart Lane next season