Safety needle assemblies that include a needle having a sharp distal tip and a needle tip cover mounted on the needle are disclosed. The needle tip cover includes a proximal wall having an opening for the needle to pass therethrough. The needle tip cover urges against the needle in a ready to use position and shields the sharp distal tip in the secured position. The needle tip cover is moved proximally by a biasing member after the needle has been inserted into a patient a predetermined depth.
