Mark 13:10 And the gospel must first be published among all nations.
There is a push to get the world evangelized so Jesus can come back. I do not believe that is what the Scriptures teach. The world will be evangelized before He comes back but that will not be the church doing the evangelism. God has plans to restore the nation of Israel. He will raise 144,000 Jewish witnesses that will literally cover the globe with the gospel message.
So yes the world will be evangelized before Jesus returns but the pressure is not on us. We evangelize because we love Him and we are obeying Him. We know that He is at work. It is His harvest. We just know that there is a plan to use the nation of Israel that is being provoked to jealousy by the hard work of the church.