Everyone is different, you may actually lose a bit more each week then how you are eating now since it is more restrictive and specific.
The first time I did induction I was close to goal, 160 lbs. I lost 14 lbs in a month and that was including a week where I stalled because I tried the Atkins bars which don't agree with me. This time around I have just finished a month on induction and lost 12 lbs. I stalled for a week this time as well, but I think it's because my body is a mess of hormones right now. I just had a baby, started a new birth control (which causes bloating) and just Friday got my first period since giving birth and am now just seeing a drop again. I also cheat by drinking diet coke and rye on induction, I would lose a lot more if I didn't.
I would say try it
It may speed up your weight loss and help you reach that goal in time.