Many parents get very worried about seeing flecks of blood around the cord in the first weeks of life.
Keep in mind that just a few days ago, while your baby was in utero, the cord was a major set of blood vessels, with two aorta like arteries and a large vein. The cord, then, was a large tube of blood.
Once the cord is cut, it quickly dries up, but it still is a tube of blood, now a tube of dried blood.
The body separates from the cord by eating through its base, which liquefies the cord at its base and releases some of the dry blood it contains. We have never seen any cord actually bleed after birth, but have seen some flecks of blood fall out the separating cord in most babies. This is normal and harmless.