Cement top job with non-retrievable tubing

A method for cementing a wellbore having a lost circulation zone, the method comprising:

• installing a cement basket around a casing string having a casing diameter;
• running and setting the casing string in the wellbore, wherein the cement basket is set in proximity of and up hole from the lost circulation zone;
• pumping a cement slurry, through the casing string, to a first depth downhole from the cement basket;
• running a first tubing, having a tubing diameter, into an annulus between the casing string and the wellbore, wherein the tubing diameter is less than the casing diameter and the first tubing is run to a depth in the annulus proximate the cement basket;
• and
• pumping the cement slurry, through the first tubing, to a second depth up hole from the cement basket.