Michael Spicer, chairman of the Conservative Party's 1922 Committee, raised the matter with leader of the Commons Robin Cook.
His concern, prompted by approaches from worried MPs, follows the suspension by councils of the sale of electoral registers after a court decision that this breached data protection laws.
Spicer asked Cook, "Will you consider providing time to discuss the impact of data protection legislation on MPs when they carry out their constituency work?
"There is growing anxiety among MPs of all parties about that. Changes in legislation that perhaps grant MPs some element of privilege may be required.''
Cook replied, "I should be happy to hear from any MP who is encountering specific problems that relate to data protection when carrying out their constituency work. I shall pass on the information to the Home Office.''
Spicer told Computer Weekly, "This comes about as a result of my work as chairman of the 1922 Committee. Several MPs have come up to me expressing worries about the effect of the Data Protection Act on their constituency work."