Davidson was at his all round peak during the 1960–61 series against West Indies. After taking eight wickets in the two opening matches of the season against Queensland, Davidson gave an indication of what was in store in the Tests when New South Wales played Frank Worrell's tourists. He struck 88 as the hosts amassed 6/429 declared and then took three top-order wickets, removing Cammie Smith, Rohan Kanhai and Gary Sobers, holder of the Test world record of 365. He ended with 4/26 as the West Indies fell for 111 and lost by an innings. He then completed his Test preparation with 122 not out against Victoria.