In a large skillet over medium heat, add the olive oil. Once hot, add the beef tips, seasoned with salt and pepper. Brown them on all sides for about 5 minutes.

Reduce heat to medium-low and add the chopped onion and minced garlic. Sauté for another 3 minutes until the onions are translucent.

Sprinkle the flour over the beef and vegetables. Stir well to combine, and let it cook for about 2 minutes. Gradually add beef broth while stirring continuously to avoid lumps.

Add the Worcestershire sauce and adjust the seasoning with more salt and pepper if needed. Bring the mixture to a simmer, then reduce heat to low. Cover and cook for 15 minutes, allowing the gravy to thicken.

Once the gravy has thickened, spoon the beef tips and gravy over a bed of mashed potatoes or rice. Garnish with fresh parsley.