The 25-year-old kept the Super Eagles qualification hopes alive with his equalizer against South African in the 1-1 draw last month.
Nigeria are currently in third place in Group C, three points behind Benin and Bafana Bafana, needing to win both remaining games and hope the latter drops points in order to grab the automatic qualifying spot.
"We need to remain calm and do what we have to," Bassey told the Super Eagles media team.
"I think this is not the first time, club or country, anyone of us have been in a high-pressure moment. So, I think we have got an experienced team to handle this situation. It is just about making sure we do everything right."
The centre-back has played every minute of Nigeria's World Cup qualifiers and has also started all seven Premier League matches for the Cottagers this season.
The Super Eagles take on Lesotho at the Peter Mokaba Stadium on Friday before hosting Group C leaders Benin at the Godswill Akpabio Stadium on Tuesday.
Manchester City secured a second successive Premier League victory at home against Sunderland, Chelsea were held scoreless away to Bournemouth while Tottenham managed to beat Brentford.
Aston Villa delivered a major jolt to the Premier League title race as Emiliano Buendía struck deep into stoppage time to seal a 2-1 win over Arsenal on Saturday.
Pico Lopes is looking forward to Cape Verde's 2026 FIFA World Cup campaign after drawing Spain, Saudi Arabia, and Uruguay in Group H.
David Moyes urged Everton to stay on the front foot as they prepare for Saturday's Premier League meeting with Nottingham Forest at Hill Dickinson Stadium, where Sean Dyche made his first return since leaving the club nearly a year ago.
