Tissue engineering has been an active field of research for several decades now. However, the amount of clinical applications in the field of tissue engineering is still limited. One of the current limitations of tissue engineering is its inability to provide sufficient blood supply in the initial phase after implantation. Insufficient vascularization can lead to improper cell integration or cell death in tissue-engineered constructs. This review will discuss the advantages and limitations of recent strategies aimed at enhancing the vascularization of tissue-engineered constructs. We will illustrate that combining the efforts of different research lines might be necessary to obtain optimal results in the field.