Downing Street also confirmed the visit, saying the "bilateral meeting" would happen "in the margins" of the summit.
White House Press Secretary Sarah Huckabee Sanders says Trump looks forward to meeting with May 'to further strengthen the USA -U.K.
May was the first foreign leader to visit Mr Trump at the White House, after his inauguration in January 2017.
It was earlier reported that the USA president had not scheduled any time in his itinerary to meet with the British PM following recent tensions between the two leaders.
The forum will take place at the Swiss ski resort from Tuesday to Friday next week, and will be attended by politicians and leaders in the business world.
The Prime Minister was left surprised by Mr Trump last week cancelling a planned visit to London to open the new U.S. embassy.
However, in November, the prime minister criticised Trump for retweeting three inflammatory videos posted online by the far-right group, Britain First.
"His visit next month would without doubt have been met by mass peaceful protests".
The US president has tweeted that he was unhappy that his predecessor, Barack Obama, had sold the current embassy for "peanuts" in order to build a $1bn (£750m) replacement, calling it a "bad deal".
Khan, who has been singled out for criticism by the United States president a few times, said the planned visit would have been met by mass peaceful protests.