Turkey are fourth in Group D with three games left, some nine points behind runaway leaders Holland.
Second spot and consequently a play-off remains up for grabs, though, with Terim's men three points behind current occupants Romania.
The pair meet on Tuesday and Turkey can reel their rivals back in with a win, while a loss would all but end their hopes.
Hungary sit in between the two and will have their part to play, but Terim, back in the job for a third time, knows his side can control their own destiny.
They teed-up Tuesday's meeting with a 5-0 win over Andorra and Terim told reporters: "It was a victory we were in need of, we played a good game but struggled at times to create openings against Andorra who defended well with 11 men behind the ball.
"We controlled the game and I want to congratulate my players, the win has helped boost our moral.
"Our situation in the group is still precarious, we cannot lose, in fact we have to win our games and hope our competitors drop points.
"The game against Romania will be tough, we have to be careful but have to do everything in our power to win."
Holland's march to a 100 per cent record in qualifying was halted by a 2-2 draw with Estonia on Friday, and although they still look the outstanding bet to progress, Oranje great Johan Cruyff thinks it was the jolt they needed ahead of Tuesday's clash with Andorra.
Writing a column in De Telegraaf, he said: "It does not hurt the team that it drew with Estonia. We could have gone undefeated (won every game) and been the first (European) country qualified.
"But for the World Cup that would have given a distorted picture of the strength of the team.
"Against Estonia it became clear there is still much work to do.
"The classification is not in danger, but sometimes you get something which convinces people things are not as good as they seem."
Holland will qualify if they win and Romania do not, while they could also go through if they draw, Romania lose and Hungary do not win.
The third and final clash in the group sends Estonia to Hungary, with the hosts looking to stay ahead of the pack and possibly take advantage of any Dutch catastrophes.