There will be a weight of expectation on his shoulders when Colombia face Senegal in their final group game on Thursday.
The World Cup group stage continues when Poland takes on Colombia in a Group H match Sunday, June 24.
Goals from Yerry Mina, Radamel Falcao and Juan Cuadrado capped off a destructive showing from Jose Pekerman's side, whose victory also means that Poland find themselves eliminated from the tournament with a game still to be played.
Colombia had plenty of work to do themselves after going down to Japan, and after a watchful opening Los Cafeteros soon began to apply themselves going forward.
The respite was brief and, on the next Colombia attack, Juan Quintero found Rodriguez lurking inside the box and the midfielder chipped a delightful cross into the danger area for Mina to head the ball into the net from point-blank range.
Colombia right-back Santiago Arias said the South Americans were confident they could do something similar on Sunday.
But shortly after Cuadrado came alive, running at the Poland defence and starting a move that culminated with an exquisitely weighted cross by James that was met by the head of Mina, who lost his marker to head over Szczesny's outstretched arms and into the net.
Lewandowski finally got a chance to score his first World Cup goal in the 58th minute but his first touch on the long ball was not his best and goalkeeper David Ospina smothered his shot. Quintero proved the architect with a sublime through-ball, allowing Falcao to break free and prod a clever finish into the bottom corner.
Colombia's players celebrate at the end of the Russian Federation 2018 World Cup Group H football match between Poland and Colombia at the Kazan Arena in Kazan on June 24, 2018.