Colchester substitute Steven Gillespie sealed a comfortable 4-0 win against Conference South outfit Bromley as the League One side made no mistake in booking an FA Cup second-round spot.
Aidy Boothroyd's men dominated from the off at Hayes Lane but it was not until the 31st minute that Colchester opened the scoring.
Simon Hackney met John White's cross on the half-volley from the edge of the area to leave Gareth Williams no chance in the Bromley goal.
And Odejayi ended the match as a contest just three minutes later after he picked up the ball in the Bromley half, beat two defenders and coolly slotted past Williams.
Bromley hit-man Warren McBean - who has 11 goals to his name this campaign - was replaced by Gareth A Williams at half-time and he immediately carved out the home side's first chance before tamely shooting at Colchester goalkeeper Ben Williams.
And Williams was left to rue his miss when David Fox's corner was met by the head of Clive Platt after 71 minutes.
And man-of-the match Fox provided the cross from the right for Gillespie - who replaced Odejayi - to lose his defender and head back across goal with three minutes left on the clock.