If you are at low risk of major bleeding, continuing to take blood thinners indefinitely, rather than stopping medication at 6 to 12 months, increases your chance of having a major bleed - about 6 more bleeds per 1,000 people. If you are at high risk of major bleeding, taking blood thinners indefinitely results in a greater increase in major bleeds – about 18 more bleeds per 1,000 patients.