Modified Look‐Locker inversion recovery (MOLLI)
T
1
mapping sequences can be useful in cardiac and liver tissue characterization, but determining underlying water
T
1
is confounded by iron, fat and frequency offsets. This article proposes an algorithm that provides an independent water MOLLI
T
1
(referred to as on‐resonance water
T
1
) that would have been measured if a subject had no fat and normal iron, and imaging had been done on resonance. Fifteen NiCl
2
‐doped agar phantoms with different peanut oil concentrations and 30 adults with various liver diseases, nineteen (63.3%) with liver steatosis, were scanned at 3 T using the shortened MOLLI (shMOLLI)
T
1
mapping, multiple‐echo spoiled gradient‐recalled echo and
1
H MR spectroscopy sequences. An algorithm based on Bloch equations was built in MATLAB, and water shMOLLI
T
1
values of both phantoms and human participants were determined. The quality of the algorithm's result was assessed by Pearson's correlation coefficient between shMOLLI
T
1
values and spectroscopically determined
T
1
values of the water, and by linear regression analysis. Correlation between shMOLLI and spectroscopy‐based
T
1
values increased, from
r
= 0.910 (
P
< 0.001) to
r
= 0.998 (
P
< 0.001) in phantoms and from
r
= 0.493 (for iron‐only correction;
P
= 0.005) to
r
= 0.771 (for iron, fat and off‐resonance correction;
P
< 0.001) in patients. Linear regression analysis revealed that the determined water shMOLLI
T
1
values in patients were independent of fat and iron. It can be concluded that determination of on‐resonance water (sh)MOLLI
T
1
independent of fat, iron and macroscopic field inhomogeneities was possible in phantoms and human subjects.