Miss. Code Ann. § 43-19-43

The mother or father are competent to testify at the trial against the other as provided in Section 13-1-5 subject to the provisions of the Mississippi Rules of Evidence governing the husband-wife privilege. If a parent called for examination declines to answer upon the grounds that his testimony may incriminate him, the court may require him to answer, in which event he shall not thereafter be prosecuted for any criminal acts involved in the conception of the child whose paternity is in issue and/or for whom support is sought, except for perjury committed in his testimony.