I don't think you need to worry about it when your LO is this age, but an orthodontist told me that you would want it to stop by the time they turn 3, because it can start to have an effect on adult teeth even at that age. I agree with a PP that said 95% of babies outgrow it by the time they are 1. I heard this also.
My daughter was a thumb sucker until she was 26 months when I helped her drop the habit. Her teeth looked horrible and when she was 25 months I said enough is enough. I had her wear a pair of gloves to bed at night so she couldn't suck her thumb. Then during the day, she would only try to suck it when she was watching tv. So I would turn off the tv if she put her thumb in her mouth and explain that we can't watch tv with a thumb in her mouth. In 2 weeks the habit was gone but I kept her sleeping with gloves at night for a month just to be sure. Her teeth amazingly went perfect within a couple months. I can see before and after pictures of her teeth and they were horrendous before.
My daughter was a thumb sucker until she was 26 months when I helped her drop the habit. Her teeth looked horrible and when she was 25 months I said enough is enough. I had her wear a pair of gloves to bed at night so she couldn't suck her thumb. Then during the day, she would only try to suck it when she was watching tv. So I would turn off the tv if she put her thumb in her mouth and explain that we can't watch tv with a thumb in her mouth. In 2 weeks the habit was gone but I kept her sleeping with gloves at night for a month just to be sure. Her teeth amazingly went perfect within a couple months. I can see before and after pictures of her teeth and they were horrendous before.