The Super Eagles, who lost 1-0 to Argentina in the opener, should beat a Greece side who also suffered a defeat in their first game after losing 2-0 to South Korea.
Diego Maradona's Argentina take on Korea in the other Group game with a last-16 berth in sight.
France will be looking to erase the disappointment of their goalless draw with Uruguay when they face Mexico in Group A later on Thursday.
Nigeria V Greece
Team news:
Nigeria coach Lars Lagerback could include striker Obafemi Martins in the starting line up after he produced a fine display when introduced in the second half of the 1-0 defeat to Argentina.
Greece defender Sotirios Kyrgiakos could return to the starting eleven after coach Otto Rehhagel surprisingly left him out in the 2-0 defeat by Korea.
What they said:
"I know that my Super Eagles players will handle this situation very well so from my point of view I am very positive going into the next game. It doesn't matter if Greece had lost or won," Nigeria coach Lars Lagerback.
"We still have an opportunity and can recover after losing the first game. First of all we have to keep our mistakes to a minimum. We have to play to our full potential and give everything," Greece coach Otto Rehhagel.
Player to watch:
Nigeria: Goalkeeper Vincent Enyeama produced a superb display against Argentina, preventing his side from an embarrassing defeat.
Greece: Theofanis Gekas, who was Europe's top scorer in the qualifiers with 10 goals, will be looking to open his World Cup account against Nigeria.
Argentina V Korea
Team news:
Argentina will miss veteran midfielder Juan Veron due to a calf injury. Maxi Rodriguez is expected to deputize for him.
Korea striker Lee Donk-Guk is expected to return to the starting line up after recovering from an injury.
What they said:
"We had a practice game between the first team and the second team and there was hardly any difference between the two. They played at a great level; I was amazed and astonished at how great the guys are, the way they are playing," Argentina coach Diego Maradona.
"I have to admit back in 1986 when I played, we were very intimidated by Argentina. This is a very different time; we have a lot of experience now and a lot of good players," Korea coach Huh Jung-Moo.
Player to watch:
Argentina: Wizard Lionel Messi, who impressed against Nigeria, is expected to produce another dazzling display.
Korea: Manchester United's Park Ji-Sung, who scored against Greece, is the Koreans' key player.
France V Mexico
Team news:
France coach Raymond Domenech may start Florent Malouda, who was not included in the starting line up against Uruguay, at the expense of playmaker Yoann Gourcuff.
Mexico don't have injury worries but striker Javier Hernandez, who will join Manchester United after the World Cup, may be given the nod ahead of former West Ham forward Guillermo Franco.
What they said:
"We mustn't let Mexico control possession. They've got a very, very good team but my players are really up for this game, I can sense that vibe coming from them," France coach Raymond Domenech.
"This is a vital match and France are strong opponents, both in defence and attack. Even though they're not playing to their usual high standards, they've got players who can turn a game at any moment," Mexico midfielder Rafael Marquez.
Player to watch:
France: Franck Ribery was not at his best against Uruguay but he will be looking to make amends against Mexico.
Mexico: Giovani dos Santos is a lively playmaker who can make the difference.