Yes, you can use white pepper instead of black pepper to enhance turmeric absorption. White pepper contains the alkaloid, piperine, just like black pepper, and thus improves the bioavailability of turmeric. However, there is limited evidence regarding the use of white pepper as an absorption enhancer, as most studies have been conducted using black pepper and turmeric.
Thus, if you have black pepper, better to give it first preference in terms of using it with turmeric.
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White Pepper and Turmeric: Benefits
Piperine found in white pepper can have several health benefits and therapeutic uses in combination with turmeric.
Let us study these facts in detail.
1. White pepper contains piperine
The main reason for using black pepper along with turmeric is to increase the absorption of curcumin, an active ingredient found in turmeric.
White pepper also contains piperine. Both black pepper and white pepper are obtained from the fruit of the plant Piper nigrum.
Black pepper is obtained when the almost ripe pepper fruit is dried in the sun, giving it its black color. However, white pepper is obtained by drying the ripened fruit after removing the outer coating and hence, is white in color.
The piperine content in peppers can range from 2%to 7.4%. 
As the pepper fruit ripens, the content of piperine in it increases. Thus, white pepper, obtained from ripened fruit has slightly higher piperine content than black pepper and is comparatively spicier.
In spite of its high piperine content, the role of white pepper as a bioenhancer of turmeric cannot be confirmed due to limited evidence.
One study mentions the use of piperine from white pepper to enhance the availability of curcumin. The combination was successful in reducing inflammation in adipose tissues caused by a high-fat diet. 
This is the only study reporting the use of white pepper as a bioenhancer, and more research is required to ascertain this effect.
However, another study states that white pepper and piperine have different effects on the absorption of drugs and white pepper decreases oral absorption. 
Due to its adequate piperine content, white pepper may affect drug metabolism and absorption, but the insufficient evidence does not give us a conclusive answer.
2. Several health benefits are attributed to Piperine
Most of the health benefits of black pepper are attributed to the presence of piperine. It is proven to improve curcumin’s bioavailability by 2000%. 
Given, white pepper has piperine (and of the same percentage) these benefits should extend to white pepper too.
Combination of piperine and curcumin (from turmeric), can help in the treatment of metabolic syndrome  , obesity  , hypertension , neuropathic pain , gallstones , cancer  , ulcerative colitis , muscle damage , toxicity   and DNA damage .
Moreover, it has significant benefits in the prevention of neurological conditions by protecting from neurotoxicity , depression , cognitive impairment, memory loss, and ageing.   
To know more about these advantages, refer to the above-listed benefits. Piperine in black pepper is proven to increase to curcumin’s absorption. Based on the evidence available to date, it is best to use black pepper for optimizing turmeric’s absorption.
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There has always has been confusion whether white pepper will help in absorption of turmeric or not. If we go by logic, yes it would as it has almost the same % of piperine as black pepper. The only small point is that most studies about the ability of piperine to enhance turmeric’s absorption have been conducted on black pepper.
Have you taken white pepper along with turmeric? What is your observation? Do share your feedback and queries by commenting below! Stay Healthy!