You need OSPF or IS-IS to distribute link information such as reserved, unreserved and used bandwidth, metric, link colouring information.These informations are used by CSPT ( Constraint based shortest path first ) algorithm.
For those who are familiar with MPLS-Traffic Engineering, path is calculated either at each and every device or with the offline computation tools such as NMS from the central place.
For the distributed computation, CSPF which is one of the flavour of Shortest Path First (SPF) algorithm is used.
CSPF computes a dynamic unidirectional MPLS TE LSP ( Label Switch Path ) by reaching the Traffic Engineering Database (TED).
TED database has different attributes than regular link state database which is created such as reserved , used , unreserved bandwidth on the interfaces, link colouring attributes and so on.Link colouring information is used to avoid SRLG ( Shared Risk Link Group ) path at the transport network.
These information can only be provided by the link state protocols. Thus if you want to calculate the MPLS TE LSP without helping the NMS ( Network Management System ) but on each and every LSR as distributed, you need to use link state routing protocols which are OSPF and IS-IS currently.