In figure A the satellite is orbiting in a circular orbit. By the satellite increasing speed it would turn the orbit into a more egg shaped orbit as shown in B. This would rather increase the time for orbit revolution rather than decreasing it
When the satellite is approaching B.1 it's velocity will begin to slow down as earths gravity begins to pull it. Once it reaches 1 the speed will begin increasing until the satellite reaches periapsis (nearest point in orbit to earth) followed by the satellites speed then decreasing until it reaches apoapsis (farthest point in orbit which is b.1)
You can decrease the time of orbit for the satellite by making its orbit closer to earth. This increases the velocity of the satellite. But when the satellite is closer to the atmosphere it is susceptible to more upper atmospheric drag which is not suitable as this would eventually slow the satellite enough to enter the atmosphere and burn up.
Having a larger orbit as shown in D would cause the satellite's velocity to decrease as well as the orbit revolution time to increase.