Combine the ground turkey, bread crumbs, water, and eggs in a large bowl. Mix with your hands until just combined. Divide into 6 equal portions and press each into a patty about 2 inches thick.
Heat the olive oil in a large nonstick skillet over medium-high heat. Brown the patties on both sides, about 3 to 4 minutes per side. Remove from the pan and set aside.
Add the water, ketchup, Worcestershire sauce, condensed soup, and pepper to the skillet. Whisk to combine and bring to a boil.
Return the patties to the skillet. Reduce the heat to medium-low, cover, and simmer for 10 minutes.
Remove the lid and bring the gravy back to a boil for 1 to 2 minutes until it reduces slightly. Check that the patties have reached an internal temperature of 165°F.
Serve with gravy spooned over the top.