Well yes, the first singular of the future has the strongest affinity to put the personal pronoun: "With verbs already bearing a 1st or 2nd person affix, i.e. past and future tense verbs, the subject pronoun is omitted generally in formal usage and often in casual usage, except with the 1st person singular future" (Grammar of Modern Hebrew, Lewis Glinert §7.3.3)
ami565107, I hear eshma, as intended. I wonder if you'll still hear a problem if you come back to it again, with more experience in the course. Sometimes we may hear a slight sound like a consonant when the person begins to speak, although I think that the initial vowel sound is clearly "eh" for eshma, rather than "iy" as in tishma.