Links to thyroid autoimmune diseases and Type I Diabetes?

I've heard there are links to thyroid autoimmune diseases and Type I Diabetes. I know if you have Type I Diabetes you are more likely to develop a number of other autoimmune diseases such as thyroid diseases and coeliac disease. If I have a thyroid autoimmune disease am I more likely to develop Type I Diabetes? Is it worth asking my doctor to check for antibodies for this every now and again?