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.
Mikel Arteta has described Granit Xhaka as "one of the signings of the season" ahead of Arsenal's reunion with their former midfielder when they face Sunderland at the Stadium of Light on Saturday.
Strasbourg's on-loan defender Mamadou Sarr has chosen to represent Senegal at international level despite having represented multiple France youth teams.
Jadon Sancho's struggles deepened on Thursday night as the on-loan Manchester United winger failed to seize his opportunity in Aston Villa's 2-0 victory over Maccabi Tel Aviv.
Oliver Glasner has praised Crystal Palace's fighting spirit but admitted his side "still have plenty to improve" despite a commanding 3-1 home victory over AZ Alkmaar in the UEFA Conference League.
