Willett carded a two under par round of 68, building on his 66 from the opening day to sit six shots off the lead in a tie for 16th.
Starting on the tenth, the Sheffield golfer bogeyed the 11th but played a fine approach on 14 to secure a birdie.
Another birdie followed on the par five 17th after he reached the green in two.
A bogey on the third took him back to level par before an excellent approach on the fourth brought a birdie which he repeated on the fifth.
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Willett is in decent form – having performed well at the Memorial Tournament last weekend – as he heads towards the US Open at Pebble Beach, the year’s third Major, next week.
Scott Brown and Matt Kuchar are tied for the lead at the Canadian Open on -12.