The 18-year-old has impressed at Elland Road this season, making 24 appearances as they narrowly missed out on automatic promotion from the Championship.
Clarke made his first-team debut for Leeds in October and has continued to develop under Marcelo Bielsa.
The Yorkshire Evening Post report the Championship club are braced for an offer from Spurs but are yet to receive an official offer.
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The winger signed his professional contract with Leeds in 2017 and is understood to run until 2021.
Manchester City attempted to lure him from United’s academy prior to him signing the contract two years ago.
His development this season was slightly hampered by a virus earlier this year that saw him collapse while on the substitutes bench against Middlesbrough in February.