The 26-year-old began his 2017 campaign with a 7-5 7-5 win over Slovakia's Andrej Martin on Monday.
"I think a lot of people will be rooting for Marcus," Broady told the Times. "Fingers crossed I'll break a few hearts.
"We both know what's on the other side of the net. He's a very tricky customer who fights very hard.
"I'm looking forward to the battle, but it's never nice playing a friend and it's never nice playing another Brit."
Broady, who beat Canadian Frank Dancevic 6-2 6-3 in the first qualifying round, holds a 4-3 head-to-head advantage over Willis in previous meetings.
(Reporting by Hardik Vyas in Bengaluru)
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