The full-back played 90 minutes as the two in-form teams in the Championship met in a South London derby at the New Den on Saturday.
Millwall had the better of it and Adam drilled just wide from 25 yards in the last action of note in the game.
Danny Rose played 90 minutes as Sunderland suffered a 2-1 defeat at Norwich City in the Premier League.
Jordan Archer made a crucial save to deny Bristol Rovers' Michael Smith with the score at 1-0 as Wycombe continued their fine form in League Two with a 2-0 at Adams Park.
In the FA Cup, Nathan Byrne was an unused substitute as Crawley Town toppled Chelmsford 3-0 to book a home tie against Premier League side Reading in the third round.
Young goalkeeper Jonathan Miles made a promising debut for Brentwood against Needham Market in Ryman League Division One North last weekend, including a fine save in the second half in a 1-1 draw.
Away from the UK, Bongani Khumalo played 90 minutes as PAOK drew 0-0 at Veria in the Greek Super League. That meant PAOK remain second but are now 10 points adrift of Olympiacos.